Question

Find the missing length indicated. Leave your answer in simplest radical form.

Please help! Thank you!

Answer 1

1). x = 81

2). x = 84

Explanation:

1). By applying geometric mean theorem in the given triangle,

`(x)/(18√(14))= (18√(14))/(56)`

56x = (18√14)²

56x = 4536

x =
`(4536)/(56)`

x = 81

2). By applying geometric mean theorem,

`(x)/(8√(21))= (8√(21) )/(16)`

16x = (8√21)²

16x = 1344

x =
`(1344)/(16)`

x = 84