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

asked Feb 24, 2023 40.9k views

10 votes

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5 votes

Answer: 196

Explanation:

By the geometric mean theorem,

(96)/(40√(6))=(40√(6))/(x-96)

Solving for x,

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

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