A length of rope is stretched between the top edge of a building and a stake in the ground. The head of
the stake is at ground level. The rope also touches a tree that is growing halfway between the stake and the
building. If the tree is 38 feet tall, how tall is the building?
38 ft.
19 ft.
76 ft.
57 ft.
38/2 = 19
Those with 38 in the word problem should choose 19
Those with 36 in the word problem should choose 18.
"Lmao"
Make sure to read the problem right.
anyone got the full test answers?
^ in the future please specify what each question is, because some people have different questions or question orders
you know you're stupid when everybody is arguing whether the answer is 18 or 19, and you got -2
You guys are all wrong. The answer is 76. We are trying to find out the buildings height
Geometry A: Triangles Unit Test
1. B-18 ft
2. B-BI = BK
3. A-(5,5)
4. A-I only
5. A-altitude
6. A-Line AC; Line AB; Line BC
7. B-18cm, 12cm, 9cm
8. B-ml D, ml E, ml F
9. D-1<n<25
10. C-ml C<ml B<ml A
11-14 I just copied @anonymous, so I don't really know these answers. Sorry, but for sure the last question is 100% right.
NOTE!!!! These are my answers so when taking the test make it your own words so you won't get into trouble. :) Just helping, thanks!
15. To find the value of X. We will have to use the mid segment theorem with finding out the 'given'. With the line connected to the midpoints of the two sides of the triangles is parallel, moving to the third side also adds half of the third side. B is the midpoint of AC and D is the midpoint of CE, so that makes (midpoint B of AC) AB = AC and the (midpoint D of CE) ED = DC. Together its BD = 3x + 5 and AE = 4x + 20. To proof the value of x, ⇒ 1/2 AE = BD ⇒ 1/2 4x + 20 = 3x + 5 ⇒ 4x + 20 = 2(3x + 5) ⇒ 4x + 20 = 6x + 10 ⇒ 20 - 10 = 6x - 4x ⇒ 10 = 2x ⇒ 10/2 = x ⇒ 5 = x.
So, the value of x is 5.
16. GE = 6 and BG = 3. The point that the three medians of the triangle intersect is known as the centroid of a triangle. Given, G is the centroid and BE = 9, the centroid point G divides the segment BE in a ratio of 2, 1, such that GE is twice the length of BE. BG = 1/3*BE, BG = 1/3*9 = 3, and GE = 2/3*9 = 6. So that makes it to be, GE = 6 and BG = 3.
17. The measure of length FG is 14 units. From the given diagram, since Line DF bisects angle EDG, EF = FG. The given parameters is, EF = n + 9 and FG = 4n - 6 equating both expressions as: n + 9 = 4n - 6, n - 4n = -6 - 9, -3n = -15, and n = 5. That would make the measure of FG = 14.
18. A. circumcenter: the point of is intersecting the perpendicular bisectors. B. incenter: the point of intersection of angle bisectors. C. centroid: the point of intersects of the medians, and D. orthocenter: the point of intersecting lines containing the altitudes.
19. All the vertices of a triangle are equidistant from the circumcenter. In an acute-angled triangle, the circumcenter lies inside the triangle. In an obtuse-angled triangle, it lies outside of the triangle. The circumcenter lies at the midpoint of the hypotenuse side of a right-angled triangle.
20. If "I" is the incenter of the triangle ABC, then ∠BAI = ∠CAI, ∠BCI = ∠ACI, and ∠ABI = ∠CBI using the angle bisector theorem. The sides of the triangle are tangents to the circle, and that leaves EI = FI = GI = r which is known as the inradii of the circle or radius of the incircle.
Have a nice day!