# Using the Pythagorean Theorem, how do you find the length of side B given that side A = 10 and hypotenuse C = 26?

##### 1 Answer

Apr 11, 2016

B = 24

#### Explanation:

Using

#color(blue)" Pythagoras' theorem " " in this triangle "# C is the hypotenuse hence :

# C^2 = A^2 + B^2 #

#rArr 26^2 = 10^2 + B^2 #

#rArr B^2 = 26^2 - 10^2 = 676 - 100 = 576# now

# B^2 = 576 rArr B = sqrt576 = 24 #