# geometry

Given trapezoid WXYZ, find the ratio of the areas of each pair of triangles:
WYX and XYZ
WXZ and WXY

1. 👍
2. 👎
3. 👁
1. I am saying xy and wz are parallel (does not matter but choosing that)
defining:
wz = a
xy = b
height common is h
then

Awyx = .5 h b
Axyz = .5 h a
ratio = b/a

Awxz = .5 h a
Awxy = .5 h b
ratio = a/b

1. 👍
2. 👎

## Similar Questions

1. ### Geometry

find the measure of each angle of an isosceles trapezoid if two of the angles has measures in the ratio of 2:3.

2. ### geometry

The trapezoids are similar. The area of the smaller trapezoid is 564m^2. Find the area of the larger trapezoid to the nearest whole number. The smaaler trapezoid is 24m, and the larger trapezoid is 57m. Possible answers:

3. ### Math

1. Name a pair of complementary angles. (1 point) 1 and 4 1 and 6 3 and 4 4 and 5 2. If m1=37°, what is m4? (1 point) 53° 43° 37° 27° 3. If m1 = 40°, what is m5? (1 point) 50° 40° 35° 25° Use the figure to answer

4. ### geometry

a large triangle is 15ft and the small triangle is 9ft. the triangles sre similar what is the ratio (larger to smaller) of the perimeters? possible answers: 25/9--1/6--5/3--9/25 the triangles are similar what is the ratio ( larger

1. ### TRIANGLE HELP!!!! (MATH!)

The two triangles above are similar. a. Find x using the ratio of the sides 12 cm and 16 cm: x/20 = 12/16 Show your work. b. Find x using the ratio of the sides 6 cm and 8 cm. Show your work. c. Explain why the answers to (a) and

2. ### math

The formula for the area of a trapezoid is A=1/2h(b1+b2) were h is the height of the trapezoid, and b1 and b2 are the base lengths of the trapezoid. Which formula can be used to find the length of b1?

3. ### Math 7B

1. Find the area of the trapezoid. (1 point) A. 270 mm2 B.375 mm2 C.750 mm2 D.3780 mm2 2. Find the area of the trapezoid. (1 point) A.1543.5 m2 B.220.5 m2 C.294 m2 D.588 m2 3. A trapezoid has an area of 24 square meters. The

4. ### math

Two triangles are similar. The ratio of their corresponding sides 1:4. 1. Find the ratio of their perimeters 2. What is the ratio of their areas

1. ### Math (geometry)

A diagonal of one cube is 2 cm. A diagonal of another cube is 4*sqrt3 cm. The larger cube has volume 64 cubic cm. Find the volume of the smaller cube.

2. ### Math

The sides of two similar trapezoids are in a ratio of 1:3. The area of the smaller trapezoid is 12 inches squared. Find the area of the larger trapezoid

3. ### MATH!

To get from his high school to his home, Jamal travels 5.0 miles east and then 4.0 miles north. When Shelia goes to her home from the same high school she travels 8.0 miles east and 2.0 miles south. What is the measure of the

4. ### Math

Two triangles are similar, and the ratio of each pair of corresponding sides is 2 : 1. Which statement regarding the two triangles is not true? 1) Their areas have a ratio of 4 : 1. 2) Their altitudes have a ratio of 2 : 1. 3)