Pythagoras theorem

The Pythagoras Theorem states that $a^2 + b^2 = c^2$ where $a$ and $b$ are the shorter sides and $c$ is the hypotenuse. If we input the given information in the diagram, we get an equation $5^2 + 12^2 = c^2$ . By solving this, we get $169 = c^2$ , and $c = 13$ .

The Pythagorean theorem states that: $a^2+b^2=c^2$ When $a=Height,b=Perpendicular\;and\;c=Hypotenuse$ Setting $a=5\;and\;b=12$ and solving ,we get: $5^2+12^2=c^2$ $25+144=c^2$ $169=c^2$ $c=\boxed{13}$ Remenber ,we cannot take the negative square root because a triangle(or any figure for that matter)cannot have negative sides.

Famous pair (5,12,13)

12^2 + 5^2 = c^2 [ pythagoras theorem : base^2 + height^2 = hypotenuse^2] So, c^2 = 169 or , c = 13..