What is the length of the hypotenuse of a right triangle that has a base of 5 inches and a height of 12 inches?

Nov 16, 2015

The hypotenuse is color(blue)(13 inches

Explanation:

Let the base of the right angled triangle be denoted as $A B$ ,the height as $B C$ and the hypotenuse as $A C$

Given data:
$A B = 5$ inches , $B C = 12$ inches

Now, as per the Pythagoras theorem:

${\left(A C\right)}^{2} = {\left(A B\right)}^{2} + {\left(B C\right)}^{2}$

${\left(A C\right)}^{2} = {\left(5\right)}^{2} + {\left(12\right)}^{2}$

${\left(A C\right)}^{2} = 25 + 144$

${\left(A C\right)}^{2} = 169$

$A C = \sqrt{169}$

AC=color(blue)(13