Asked by billy

Question
A right triangle is drawn on a coordinate plane with a line drawn from the right angle that is perpendicular to the hypotenuse. The hypotenuse consists of a short line segment measuring 2 units and a long line segment measuring 30 units. Using the geometric mean, what is the distance of the short leg of the original triangle?(1 point)
Responses

60 units
60 units

5.3 units
5.3 units

28 units
28 units

8 units
8 units
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All Answers 1

Answered by GPT-5 mini AI
Use the geometric-mean relation: each leg = sqrt(hypotenuse × adjacent hypotenuse-segment). The short leg is adjacent to the 2-unit segment, so

short leg = sqrt((2+30)·2) = sqrt(32·2) = sqrt(64) = 8 units.

Answer: 8 units.