# Assume ABC DEF. If DF = 12, EF = 7, and AB = 17, what is the length of DE?

29,444 results

### math

angle ABC and DEF are supplementary angles. the measure of DEF is 20 degrees less than 3 times the amount of ABC. what are ABC and DEF.

### geometry

Triangle ABC is similar to triangle DEF. The sides of ABC are 5,8 and 11. What is the length of the shorttest side of DEF if its perimeter is 60?

### geometry

triangle abc is similar to def, the lengths of the sides of triangle abc is 5,8,11. what is the length of the shortest side of triangle def if its perimeter is 60?

### geometry

DEF and ABC are complementary angles and ABC is nine times as large as DEF. Determine the measure of each angle.

### GEOMETRY

If ABC ~ DEF and the scale factor from ABC to DEF is 1/6, what are the lengths of DE,EF , and DF, respectively?

### Geometry

For 2 similar triangles ABC and DEF, the scale factor of ABC to DEF is 2:3. If AB=2(BC) and DE=3(BC), what is EF?

### geometry

"Triangle DEF is similar to triangle ABC, and the length of side DE is 6 cm. The length of side AB is 2 cm. If the area of triangle ABC is 5 square cm, what is the area of triangle DEF?

### Precalculus

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which...

### geometry

<DEF and <ABC are supplementary angles and <DEF is seven times as large as <ABC. Determine the measures of each angle. Students must show all work step by step to receive full credit.

### algebra

Triangles ABC and DEF are similar. Find the area of triangle ABC. Round your answer to the nearest tenth. the answer should be __________m^2 triangle abc has a 12m. triangle def has 12m and 18m.

### Algebra

Triangles ABC and DEF are similar. Find the area of triangle ABC. Round your answer to the nearest tenth. Triangle ABC has a base of 12m. Triangle DEF has a base of 18m and height of 12m

### Trigonometry/Geometry

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which...

### Math that needs an answer in the next 5-10 min!!!

Triangle ABC is similar to triangle DEF. Side AB is , and side DE is 6. The scale factor of ABC:DEF is 9. A) TRUE B) FALSE I think its A but I'm not entirely sure... PLZ HELP ASAP!!

### Math

If triangle ABC is similar to triangle DEF and the perimeter of ABC is 4 times greater than the perimeter of DEF , what is the relationship between the areas of the triangles?

### geometry

In similar triangles ABC and DEF, corresponding sides AB and DE equal 15 and 12, respectively. If the perimeter of triangle ABC=40, what is the perimeter of triangle DEF

### algebra

Triangles ABC and DEF are similar. Find the perimeter of triangle DEF. Round your answer to the nearest tenth.

### Math (Geometry)

The perimeter of right triangle ABC is equal to the perimeter of isosceles triangle DEF. The lengths of the legs of the right triangle are 6 and 8. If the length of each side of the isosceles triangle is an integer, what is the greatest possible length for one of the sides of ...

### geomerty

The following triangles, Ä ABC and Ä DEF, are congruent. abc 67.38degree 12cm lenght 22.62degree b5cm,l,13cm Find the lengths of all missing sides and measures of all angles for both triangles. Include correct units with each of your answers. First triangle: Second triangle...

### Trigonometry/Geometry - Law of sines and cosines

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which...

### Math

How do I determine which two triangles on a graph are congruent. ∆QRS and ∆DEF or ∆ABC and ∆XYZ. i found the coordinates of both sets: QRS Q(-2,5), R(-2,1), S(-5, 1) DEF D(5,-5), E(5,-2), F(2,-2) or ABC A(4,5), B(6,2), C(2,2) XYZ X(-4,-5), Y(-6,-2), Z(-...

Prove that the triangles with the given vertices are congruent. A(3, 1), B(4, 5), C(2, 3) D(-1, -3), E(-5, -4), F(-3, -2) a The triangle are congruent because triangle ABC can be mapped to triangle DEF by a rotation. (x,y)--->(y, -x) Followed by a reflection (x, y)--->(x...

### geometry

Let the incircle of triangle $ABC$ be tangent to sides $\overline{BC}$, $\overline{AC}$, and $\overline{AB}$ at $D$, $E$, and $F$, respectively. Prove that triangle $DEF$ is acute. I have tried proving that triangle DEF's angles were les than the opposite angles in triangle ...

### geometry

if <def < abc then <def <abc

### math

if triangle ABC is similar to triangle DEF and the scale factor is 3, what is the length of side EF if side BC is 6m? triangle ABC is larger.

### MATH

I entered the wrong coordinates in a previous question, i corrected down below. How do I determine which two triangles on a graph are congruent. ∆QRS and ∆DEF or ∆ABC and ∆XYZ. i found the coordinates of both sets: QRS Q(-2,5), R(-2,1), S(-5, 1) DEF D(5...

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB=DE, BC=EF, and ∠A=∠D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which SSA...

### geometry

Suppose right triangle ABC has one acute angle 47º. Suppose also that right triangle DEF has an acute angle 43º. How are triangles ABC and DEF related?

### geometry

Triangle ABC is congruent to triangle DEF. If the length of AB is 12 feet and the length of AC is 10 feet. Find the length of DE. can someone please help me on this question please and thank youu :)

### Math Geometry

Geometry Question: Prove the symmetric Property for congruence of triangles. Given: ∆ABC≅ ∆DEF Prove: ∆DEF≅ ∆ABC

### Math

Which congruence statement says the same thing as triangle ABC is congruent to triangle DEF? (1 point) triangle ABC is congruent to triangle EFD triangle ACB is congruent to triangle DEF triangle ACB is congruent to triangle DFE•• triangle BCA is congruent to triangle FDE ...

### Math

Which congruence statement says the same thing as triangle ABC is congruent to triangle DEF? (1 point) triangle ABC is congruent to triangle EFD triangle ACB is congruent to triangle DEF triangle ACB is congruent to triangle DFE triangle BCA is congruent to triangle FDE

### algebra

Triangles ABC and DEF are similar. Find the perimeter of triangle DEF. Round your answer to the nearest tenth. ab=4ft bc=6ft ac=5ft de=6ft ef= 9ft there is no feet given for df Please can anyone help me solve this with steps I don't understand how to do this. Thanking you in ...

### Math

Reiny ..thanks for the formula and example. I tried it and i get that both sets of triangles are congruent but it is multiple choice with one answer. I don't know what i am doing wrong. How do I determine which two triangles on a graph are congruent. ∆QRS and ∆DEF ...

### math

The base of triangle ABC is one half the altitude.The altitude of triangle DEF is one half its base. If both triangles are equal in area, what is the ratio of the altitude of triangle ABC to the altitude of triangle DEF ? a. 1:4 b. 1:2 c. 1:1 d. 2:1 e. 4:1 please answer and ...

### math

The base of triangle ABC is one half the altitude. The altitude of triangle DEF is one half its base. If both triangles are equal in area, what is the ratio of the altitude of triangle ABC to the altitude of triangle DEF? a. 1:4 b. 1:2 c. 1:1 d. 2:1 e. 4:1 please answer and ...

triangles ABC and DEF are similar. What is the legnth of side EF? Triangle ABC: Side Ab 3 cm Side Bc 2 cm Side Ca 5 cm Triangle DEF Side De 4.5 cm Side Ef x Side Fd 7.5 cm what is the legnth of side ef A 1.5 cm B 4 cm*** C 3 cm D 8.5 cm Am i correct?

### Geometry.

Triangles ABC and DEF are similar. If ∠ABC = 121°and ∠BCA = 35°, find the measure of angle FDE.

### math

In most geometry courses, we learn that there's no such thing as "SSA Congruence" . That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in ...

### geometry

ABC is congruent to DEF AB = 11, BC = 14, CA = 20, FD = 4x - 12 Find x

### Math: Finding m<A

ABC~DEF m<B = 25', m<D = 45', m<E = 25' How do find m<A?

### Geometry

Triangles ABC and DEF are congruent. The length of the line segment AB is 5 yards, the length of the line segment BC is 7 yards, and the length of the line segment CA is 9 yards.

### Math

I have 3 questions: 1) If ABC and DEF are three- digit numbers, which of the following could be the number of digits in the product of ABC and DEF? i. 4 ii. 5 iii. 6 I don't have the vaguest idea on how to do this and what type of math it is part of... My answer is 6 only but ...

### math

Triangles ABC and DEF are similar. The similarity ratio of to is , AB = 40, BC = 25, and AC = 35. What is the perimeter of ?

### Math

Find the missing sides of the similar triangles ABC and DEF. AC=2 AB=5 CB=? DF=4 FE=8 DE=?

### Math

ABC and def are equal both are 5:1 what's edf C is 47° triangle is the shape

### Trig

Its a 30-60-90 triangle there's a line in the center that= 10 a. What is the length of the hypotenuse of triangle ABC? b. What is the length of the shorter leg of triangle ABC? c. What is the length of the longer leg of triangle ABC?

### Geometry

In the diagram below, the length of the legs AC and BC of right triangle ABC are 6 cm and 8 cm, respectively. Altitude CD is drawn to the hypotenuse of △ABC. What is the length of AD to the nearest tenth of a centimeter?

### Math

Triangles ABC and DEF are similar. Find side AC. Round your answer to the nearest tenth. cm

### UPDATE to Ms Sue

If JKL is similiar to DEF and JKl has sides that are 11 times greater than those of DEF what is the relationship between the perimeters of the triangles A. They are equal. B.The perimeter of DEF is 11 times greater than the perimeter of JKL. C. The perimeter of JKL is 11 times...

### Geometry

1. If line JK is perpendicular to line XY at its midpoint M, which statement is true? a) JX = KY b) JX = KX c) JM = KM d) JX = JY Is it c? 2. What information is needed to conclude that line EF is the bisector of ∠DEG? a) m∠DEF = m∠DEG b) m∠FEG = m∠DEF c) m∠GED = m...

### Math

the right triangle ABC, the altitude from vertex C divides the hypotenuse into two segments, one of length 2 and the other of length 16. Find the perimeter of triangle ABC.

### Math

In a triangle ABC,AB=5cm,BC=12cm,angle ABC=90Â°calculate 1)the length of AC. 2)the area of the triangle 3)the length of the perpendicular from B to AC

### dav

the area of two similar triangle abc nd def are 15cm.sq nd 25cm.sq respectively.find the ratio of corresponding side

### Geometry

Given: Triangle ABC ~ Triangle DEF, m<A = 50o, m<D = 2x + 5y, m<F = 5x + y, and m<B = 102 - x. What is the measurement of <F?

### Geoometry Help: Find EF

ABC~DEF AB = 36, BC = 24, DE = 48 m<B = 110', m<E = 110' EF = ? I think it's 68. Yes? Or is something else?

### algebra

triangle abc is similar to triangle def and has a ratio 8/10 = 16/20 = 4x+6/4x+11 side ac= ?

### co-ordinate geometry maths

find area of triangle abc & triangle def if D E F are mid points of AB BC &CA D(2,1) E(1,0) F(_1,3)

### maths

D,E,F are the midpoints of a triangle ABC then what is the area of triangle DEF?

### geometry

find the length of ab & bc of a triangle abc having given the length of ac = 28inch, angle abc = 90, angle bac =30,, angle acb = 60

### geometry

describe the 2 transformations, the first followed by the second that combined will transform triangle ABC and triangle DEF. 23) A(-3,3), B(-3,1), C(0,1) D(6,6), E(6,2), F(0,2) 24)A(6,0), B(9,6), C(12,6) D(0,3), E(1,5), F(2,5)

### Trig

a. What is the length of the hypotenuse of triangle ABC? b. What is the length of the shorter leg of triangle ABC? c. What is the length of the longer leg of triangle ABC? angle A=60, angle B=30, angle C=90 the triangle has a height of 10

### Geometry

If ∆ ABC ~ ∆ DEF, BC = 12 cm, EF = 10 cm, and AC = 18 cm, find DF.

### Math

If ∆ ABC ~ ∆ DEF, BC = 12 cm, EF = 10 cm, and AC = 18 cm, find DF.

### math

Angle DEF 90degree =DEF and13 santimeter DF =5 sanrimeter find DE and EF

### Math

Write and solve an equation for each of the following. Triangle ABC is congruent to triangle DEF. AB = 2x - 10, and DE = x + 20. Find the value of x and AB. I don't even know where to begin, please help.

### geometry

In triangle ABC, AB=5 cm, BC=12 cm and angle ABC=90 degree, calculate the length of AC.

### geometry

In the accompanying diagram, triangle ABCis similar to triangle DEF, AC = 6, AB = BC = 12, and DF = 8. Find the perimeter of triangle DEF.   it an isoslese triangle 6 and 8 are both base my work 6+2=8 12+2=14 2(14)+6=p 24+6=28 I don't understand how to find the...

### geometry

In triangle ABC, ab=5 cm, BC=12 cm and ABC=90 degree, calculate the length of AC.

### Science

2-abc 3-def 4-ghi 5-jkl 6-mno 7-prs 8-tuv 9-wxy 639-8667(Apple dodger) 622-4463(let it do the work) 385-2786(an important point)

### heeeeeeeeeeelp math

Triangle ABC has an obtuse angle at B, base BC has length equal to 30 and height equal to 24. D is a point on the line segment BC and E is a point on AC such that DE∥AB. F is a point on AB such that FD∥AC. As D varies within line segment BC, what is the maximum ...

### heeeeeeeeeeelp math

Triangle ABC has an obtuse angle at B, base BC has length equal to 30 and height equal to 24. D is a point on the line segment BC and E is a point on AC such that DE∥AB. F is a point on AB such that FD∥AC. As D varies within line segment BC, what is the maximum ...

### geometry

△DEF has vertices D (2,2), E (-2,-1), and F (-3,5). Complete the following charts indicating the location of △D′E′F′ and △D′′E′′F′′ △DEF is reflected in the y-axis. Then it is translated along the vector ⟨3,−5⟩. D (2,2) DEF (?,?), D"E"F...

### pre-algebra

Assume that triangle ABC is congruent to triangle XYZ. If AB=12cm and BC=15cm, what is the length of segment YZ?

### Math

1. If triangle ABC is congruent to DEF, m angle A =55, and m angle E =25. What is m angle C? A) 25 B) 55 C) 80 D) 100 Is the answer C?

### Math (Geometry)

In right triangle ABC, we are given that ∠ABC=90∘ and AC=34. D is a point on line segment BC such that BD=12,DC=18. What is the length of AD?

### Math

In rhombus DEFG, if m<DEF=60, and the shorter diagonal DF has a length of 7, find the length of the side of a rhombus.

### Geometry

The coordinates of the vertices of ABC are A(-2,2) B (5, -3) and C (-4,-1) Identify the perimeter of ABC. Round each length to the nearest tenth before adding. I am totally lost!

### Math

Triangle ABC has the side of lengths of 6,8,9. HGI is similar to ABC which has the side length of 12, 8, and its missing one length. What is the missing number. Can someone explain how to find that number.

### maths

Triangle ABC has an obtuse angle at B, base BC has length equal to 30 and height equal to 24. (This height is taken with respect to base BC). D is a point on the line segment BC and E is a point on AC such that DE∥AB. F is a point on AB such that FD∥AC. As D varies...

### English

What could I use as a memory clue (or picture) for the following words? Evicted: Def. To force out. Requisitioned: Def. Demand, or urgently ask for something for military needs.

### Geometry

In right triangle ABC, the median to the hypotenuse has length 15 units and the altitude to the hypotenuse has length 12 units. What is the legth of the shorter leg of triangle ABC?

### geometry

In ΔABC, AB is of the length of , and AC is of the length of . The perimeter of ΔABC is 24. (a) AB = ___units. (b) AC = ___units. (c) BC =___ units

### Geometry Help

Triangles DEF and D'E'F' are shown on the coordinate plane below: Triangle DEF and triangle D prime E prime F prime with ordered pairs at D negative 1, 6, at E 1, 3, at F 6, 3, at D prime 6, 1, at E prime 3, negative 1, at F prime 3, negative 6. What rotation was applied to ...

### Math

Please help me with this home work Triangle ABC ~ Triangle ADE AD=5; DB=3.5; BC=5.1; AE=6; EC=x What is the length of AB? What is the length of DE? Write an expression that represents AC? What is the length of EC? What is the length of AC? Thank you

### English

What could I use as a memory clue (or picture) for the following words? Requisitioned: Def. Demand, or urgently ask for something for military needs. Derogatory: Def. To make a remark that belittles someone else

### math help mepls

Triangle ABC has an obtuse angle at B, base BC has length equal to 30 and height equal to 24. (This height is taken with respect to base BC). D is a point on the line segment BC and E is a point on AC such that DE∥AB. F is a point on AB such that FD∥AC. As D varies...

### Trigonometry with right triangles

Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F. m∠DEF = 60°. A √3 B √6 C √2 D √3 √2 *line in between answer D*

### math

Triangle DEF with vertices D(2,5), E(1,-6), and F(-5,3) is translated 3 units right and 2 units down. Find the coordiantes of DEF.

### math

Right triangle DEF has sides that measure x, x, and x squared for the some value of x. What is the area of triangle DEF to the nearest 0.1 square unit?

### geometry

Jim has put a fence along the side AC of the triangular patch of land shown below. A right angle triangle ABC is shown having length of one leg equal to 6 meters. The measure of angle ABC is 90 degrees. A fence is shown on the hypotenuse of the triangle. The length of the ...

### accounting

Assume ABC merchandize company purchase merchandize and 680000 on April 2016. A) Record the journal entry. B) Assume ABC purchase on account ( credit) and record the journal entry. C) Assume that the company purchase in terms of n/30 and record the journal entry. D) Assume the...

the vertices of triangle DEF are D(5,12)and E(2,7) and F(8,4) Triangle DEF undergoes an enlargement with the centre ,O, and scale factors k.Its image is DEF where D(5,12)arrow D`(7.5,18) a)How do i detremine the value of k

### Math

ABC is an equilateral triangle with side length 4. M is the midpoint of BC, and AM is a diagonal of square ALMN. Find the area of the region common to both ABC and ALMN.

### math

In △DEF, DF=16 and m∠F=45. Find the length of a leg. Leave your answer in simplest form.?

### geometry

Complete the flow proof for a Hypotenuse-Angle Theorem. Given AC congruent DF, <C congruent <F. <B and <E are right angles. Prove triangle ABC congruent triangle DEF. Thanks for tutors.

### Math

Triangle ABC ~ Triangle ADE AD=5; DB=3.5; BC=5.1; AE=6; EC=x What is the length of AB? What is the length of DE? Write an expression that represents AC? What is the length of EC? What is the length of AC?

### Math

An equilateral triangle ABC has AB=20√3. P is a point placed in triangle ABC and D,E and F are the foot of the perpendiculars from P to AB, BC and AC, respectively. If PD=9 and PE=10, what is the value of the length of PF? Please work the complete solution.

### Math

An equilateral triangle ABC has AB=20√3. P is a point placed in triangle ABC and D,E and F are the foot of the perpendiculars from P to AB, BC and AC, respectively. If PD=9 and PE=10, what is the value of the length of PF? Please work the complete solution.

### Geometry

ABC is an acute triangle with \angle BCA = 35 ^\circ. Denote the circumcenter of ABC as O and the orthocenter of ABC as H. If AO=AH, what is the value of \angle ABC (in degrees)?

### maths

ABC is an acute triangle with \angle BCA = 35 ^\circ. Denote the circumcenter of ABC as O and the orthocenter of ABC as H. If AO=AH, what is the value of \angle ABC (in degrees)?