Question

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

Answer 1

Answer: 196

Explanation:

By the geometric mean theorem,

`(96)/(40√(6))=(40√(6))/(x-96)`

Solving for x,

`(40√(6))^(2)=96(x-96)\\9600=96(x-96)\\100=x-96\\x=196`