The hypotenuse of a right triangle is 4 times the smallest side. The third side is 4 square root 15 cm.

Question

Find the length of the smallest side of the triangle.

Answer 1

x=smallest side

4x=hypotenuse

4√15=third side

use the Pythagorean Theorem

(4x)^2=x^2+(4√15)^2

16x^2=x^2+240

16x^2-x^2=240

15x^2=240

x^2=240/15

x^2=16

x=√16

x=4 cm is the smallest side

the hypotenuse is 16 cm

the third side is 4√15 cm