# The hypotenuse of a right triangle is 50 meters long and one side is 30 meters long. What is the length of the remaining side?

Jun 10, 2018

40

#### Explanation:

Use Pythagorean's Theorem:

${a}^{2} + {b}^{2} = {c}^{2}$

you have $c$ and on side.

${a}^{2} + {30}^{2} = {50}^{2}$

${a}^{2} + 900 = 2500$

${a}^{2} = 2500 - 900$

${a}^{2} = 1600$

$a = \sqrt{1600}$

$a = 40$

You might also note that this triangle is a "pythagorean triple", a 3,4,5 triangle multiplied by 10 and immediately deduce the missing side must be 40.