# How do you find b in pythagorean theorem given a=3, c=4?

##### 1 Answer
Jun 1, 2016

Plug in, and solve!

#### Explanation:

The Pythagorean theorem is: ${a}^{2} + {b}^{2} = {c}^{2}$.
So, we can plug in the given values (a = 3, c = 4), and solve for b.

${3}^{2} + {b}^{2} = {c}^{2}$
$9 + {b}^{2} = 16$
${b}^{2} = 7$
$b = \sqrt{7}$

It's straightforward, plug in the numbers you know, then solve!

If you are asked to give answers in square root form, make sure you completely rationalize your solution . If you are told to give your solution in decimal form, make sure to round to the appropriate place, if required.