Question

What is the measure of c?
A. 20
B. 14
C. 16
D. 22

Answer 1

A

Explanation:

The measurements of the segments fall on similar triangles. This means the lengths of each segment can be found using proportions.

Remember, a proportion is an equation which sets equal ratios equal to each other.

`(c)/(k)=(a)/(j)\\\\(c)/(32)= (15)/(24)`

To solve for c, multiply numerators and denominators across the equal sign:

24c = 32(15)

24c = 480

c = 20