The Pythagorean theorem

In a right triangle, the squares of the legs add to the square of the hypotenuse.

Geometry and Trigonometry: Angles and triangles

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

Work through it

$c^{2} = 36 + 64 = 100$

$c = 10$

$b^{2} = 169 - 25 = 144$

$b = 12$

Adding the squares when you're looking for a leg.

A leg is shorter than the hypotenuse, so subtract.

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