# How do you find the missing sides of a right triangle given a = 8, b = ____, c = 10?

Jun 16, 2015

 color(blue)(b=6
So the sides are , $8 , 6 \mathmr{and} 10$

#### Explanation:

Since it is a right angled triangle , the three sides must satisfy the conditions of Pythagoras theorem

Assume that $c = 10$ , is the hypotenuse as it is the larger of the two given sides.

Applying the Pythagoras theorem:
${a}^{2} + {b}^{2} = {c}^{2}$
${8}^{2} + {b}^{2} = {10}^{2}$
${b}^{2} = 100 - 64$
$b = \sqrt{36}$
 color(blue)(b=6
So the sides are , $8 , 6 \mathmr{and} 10$