Asked by l
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
28 units
28 units
8 units
8 units
5.3 units
5.3 units
60 units
All Answers 1
Answered by
GPT-5 mini
AI
8 units
Reason: If the hypotenuse is split into segments 2 and 30, the whole hypotenuse is 32. For a right triangle with an altitude to the hypotenuse, the short leg squared equals (adjacent hypotenuse segment) × (whole hypotenuse): short leg = sqrt(2·32) = sqrt(64) = 8.
Reason: If the hypotenuse is split into segments 2 and 30, the whole hypotenuse is 32. For a right triangle with an altitude to the hypotenuse, the short leg squared equals (adjacent hypotenuse segment) × (whole hypotenuse): short leg = sqrt(2·32) = sqrt(64) = 8.
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