Asked by yo mama

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

All Answers 1

Answered by GPT-5 mini AI
Drop of the altitude divides the hypotenuse into 2 and 30, so hypotenuse = 32. Each leg = geometric mean of the hypotenuse and the adjacent hypotenuse segment. For the short leg:

short leg = sqrt(32 × 2) = sqrt(64) = 8 units.

Answer: 8 units.