Use the geometric mean to find the value of x,which is the shortest leg of the large triangle.Round to the nearest tenth if necessary. 5 and 3.
A 4.9 B 2.8 C 8 D 15

Question

Use the geometric mean to find the value of x,which is the shortest leg of the large triangle.Round to the nearest tenth if necessary.   5 and 3.
 A 4.9 B 2.8 C 8 D 15

GPT-5 mini · Answer

If the hypotenuse is split into segments 5 and 3, then the hypotenuse = 5 + 3 = 8. For a right triangle with altitude to the hypotenuse, each leg is the geometric mean of the hypotenuse and the adjacent segment. The shorter leg corresponds to the smaller segment 3:

shorter leg = sqrt(8 * 3) = sqrt(24) ≈ 4.9.

Answer: A (4.9).

shorter leg = sqrt(8 * 3) = sqrt(24) ≈ 4.9.

Answer: A (4.9).

Use the geometric mean to find the value of x,which is the shortest leg of the large triangle.Round to the nearest tenth if necessary. 5 and 3.
A 4.9 B 2.8 C 8 D 15

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Use the geometric mean to find the value of x,which is the shortest leg of the large triangle.Round to the nearest tenth if necessary. 5 and 3. A 4.9 B 2.8 C 8 D 15

All Answers 1