Question

Find the missing length?

Answer 1

16

Explanation:

If triangle GFE is similar to triangle RST, using the similarity theorem

RS/RT = GF/EF

Using pythagoras theorem;

RT² = 10² - 6²

RT² =100 - 36

RT² = 64

RT = √64

RT = 8

Recall that RS/RT = GF/EF

10/8 = 20/EF

Cross multiply

10EF = 8 * 20

10EF = 160

EF = 160/10

EF = 16

Hence the missing length is 16