# A triangle has sides A, B, and C. Sides A and B are of lengths 3 and 4, respectively, and the angle between A and B is (pi)/2 . What is the length of side C?

Mar 25, 2018

color(purple)("Length of side c " = 5

#### Explanation:

$\text{Given : } a = 3 , b = 4 , \hat{C} = \frac{\pi}{2}$

"To find length of side " color(red)(c

Given triangle as color(red)(hat C = pi/2

$\therefore c = \sqrt{{a}^{2} + {b}^{2}} , \text{Applying Pythagoras theorem}$

$c = \sqrt{{3}^{2} + {4}^{2}} = \sqrt{9 + 16} = \sqrt{25} = 5$