# How do you use the pythagorean theorem to solve for the missing side given: a = 15, b = ?, c = 25?

Mar 27, 2016

$b = 20$

#### Explanation:

Consider the diagram

This is a right angled triangle

Use pythagorean theorem

color(blue)(a^2+b^2=c^2

Where

color(red)(a=15,b=b (examp$l$e) color(red)(c=25

$\rightarrow {15}^{2} + {b}^{2} = {25}^{2}$

$\rightarrow 225 + {b}^{2} = 625$

$\rightarrow {b}^{2} = 625 - 225$

$\rightarrow {b}^{2} = 400$

rArrcolor(green)(b=sqrt400=20