Question

How do I use the Pythagorean Theorem with square roots??

Answer 1

Pythagorean theorem is

${a}^{2} + {b}^{2} = {c}^{2}$

Say a triangle looked like the attached picture.

To solve for x, plug the values into the pythagorean theorem.

${x}^{2} + { \sqrt{2} }^{2} = {3}^{2}$

${x}^{2} + 2 = 9$

${x}^{2} = 7$

$x = \sqrt{7}$

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