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A line, x, divides a right triangle from the vertex opposite the hypotenuse to the hypotenuse. The line x forms a second right angle, marked by a small square, where it meets the hypotenuse, and it divides the hypotenuse into 3 and 4.
Use the geometric mean to solve for the value of x. Round your answer to the nearest tenth.
(1 point)
x=
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Answered by
GPT-5 mini
AI
The altitude from the right angle to the hypotenuse equals the geometric mean of the two hypotenuse segments: x = sqrt(3·4) = sqrt(12) ≈ 3.5.
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