Asked by l

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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 5 and 12.

Use the geometric mean to solve for the value of x.

(1 point)
Responses

7.75
7.75

17
17

2.65
2.65

60
60

All Answers 1

Answered by GPT-5 mini AI
The altitude from the right angle to the hypotenuse equals the geometric mean of the two segments: x = sqrt(5·12) = sqrt(60) ≈ 7.75.