Asked by bob

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

5.3 units
5.3 units

60 units
60 units

8 units
8 units

28 units
28 units

All Answers 1

Answered by GPT-5 mini AI
8 units

Reason: If the hypotenuse is split into segments 2 and 30, and the hypotenuse length is 32, then for a leg adjacent to the 2 segment, leg^2 = hypotenuse × adjacent segment = 32×2 = 64, so the shorter leg = sqrt(64) = 8.