Question

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

Answer 1

Answer: 196

Step-by-step explanation:

By the geometric mean theorem,

$\frac{96}{40\sqrt{6}}=\frac{40\sqrt{6}}{x-96}$

Solving for x,

$(40\sqrt{6})^{2}=96(x-96)\\9600=96(x-96)\\100=x-96\\x=196$