Question

if a right triangle has a hypotenuse of 12cm and one leg that measures 9cm, find the length of the other leg

Answer 1

Use the Pythagorean theorem:

`(leg)^2+(leg)^2=(hypotenuse)^2 \\ 9^2+x^2=12^2 \\ 81+x^2=144 \\ x^2=144-81 \\ x^2=63 \\ x=√(63) \\ x=√(9 * 7) \\ x=3 √(7)`

The length of the other leg is 3√7 cm.