The lengths of one leg and the hypotenuse of a right triangle are given. Find the length of the other leg.

Question

The lengths of one leg and the hypotenuse of a right triangle are given. Find the length of the other leg.
(a) leg: 8, hypotenuse: 10

_______units

(b) leg: 24, hypotenuse: 25

________units

(c) leg: 8, hypotenuse: 17

_________units

(d) leg: 15, hypotenuse: 25

__________units

Answer 1

a) leg: 8, hypotenuse: 10

a² + b² = c²

8² + b² = 10²

64 + b² = 100

b² = 36    Take the square root of both sides.

b = 6

Do the rest of the problems the same way.