Draw one right triangle with side lengths labeled, to fit all of the statements below.

Question

1. 60 is the geometric mean of 36 and 100.

2. 80 is the geometric mean of 64 and 100.

3. 48 is the geometric mean of 36 and 64.

Answer 1

it is a 60,80,100 right triangle

draw from "vertex with right angle" to hypotenuse an altitude line

meaning line makes right angle with hypotenuse.

altitude has length of 48, and hypotenuse is divided by altitude

into lengths 36 (adjacent to 60 side) and 64 (adjacent to 80 side)

from similar triangles

60=√(36*100)

80=√(64*100)

48=√(36*64)