Question

A parallelogram of length 18 inches has two perpendicular lines drawn to its bases as shown. The rectangle has a length of 11 inches and the triangles on the ends are 30°- 60°- 90° right triangles. What is the length of the short side of the parallelogram?

5.5 inches

7 inches

9 inches

14 inches

Answer 1

do u no if it is 14

Answer 2

The base of the triangle is the difference between the length of the parallelogram and the length of the base of the rectangle. (18-11 = 7)

7 is opposite the smallest angle (30 degrees), the hypotenuse is opposite the largest angle (90 degrees).

So, since the ratio between those two sides is 1:2, the hypotenuse is 7*2 = 14 in.

Answer 3

so it is 14

Answer 4

Yeah.

Answer 5

cool thanks