Question

Find the missing length indicated.

Answer 1

x = 64

Explanation:

60 + (36 + x) + r = 180

180 - 60 = 120

120 = ( 36 + x) + r

(36 + x) = 100

100 - 36 = 64

x = 64

120 - 100 = 20

r = 20

Answer 2

x = 64

Explanation:

In this situation, we can use one of the theorems associated with an altitude in a right triangle. We can say:

36(x + 36) = 60^2

36x + 1296 = 3600

36x = 2304

x = 64