Question

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An altitude labeled x from the right angle to the hypotenuse divides a right triangle into two smaller right triangles. The altitude divides the hypotenuse into two segments labeled 10 inches and 15 inches.

Sarah is building a portable rabbit hutch in the shape of a triangular prism. A vertical support beam splits the hypotenuse of the right triangle into two pieces, one measuring 10 inches and one measuring 15 inches.


If the hutch is placed so that the hypotenuse of the triangle is on the ground, how tall is the hutch? Round your answer to the nearest tenth.

(1 point)
feet
Remaining Attempts : 3
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Answer 1

Altitude = sqrt(10·15) = sqrt(150) ≈ 12.247 in. Converting to feet: 12.247/12 ≈ 1.0206 ft, so to the nearest tenth the hutch is 1.0 feet tall.