Question

The triangles below are similar. What is the length of ? A. 17 cm C. 19 cm B. 18 cm D. 20 cm

Answer 1

B. 18 cm.

Explanation:

Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.

`(16)/(24) =(12)/(x)`

`(2)/(3) =(12)/(x)`

2 * x = 12 * 3

2x = 36

x = 18

So, the length of ED is B. 18 cm.

Hope this helps!