Question

What's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 15 units? A. 10 units B. 20 units C. 24.7 units D. 29.2 units

Answer 1

the length of the hypotenuse is 25 units and the length of the other leg is 15 units

To find the length of one leg of a right triangle we apply Pythagorean theorem

(one leg)^2 = hypotenuse ^2 - other leg ^2

Let x be the length of one log

hypotenuse = 25

other log = 15

`x^2 = 25^2 - 15^2`

`x^2 = 625 - 225`

`x^2 = 400`

Take square root on both sides

x = 20

The length of one leg = 20 units