Question

In the given figure, find the length of the hypotenuse.

Answer 1

Using Pythagorean theorem for $\Delta ABC$,

$A{B}^2=A{C}^2+B{C}^2$

Hence,
$\Rightarrow A{B}^2=A{C}^2+B{C}^2$

$\Rightarrow A{B}^2=5^2+{12}^2$

$\Rightarrow A{B}^2=25+144$

$\Rightarrow A{B}^2=169$

$\Rightarrow AB=\sqrt{169}=13$ in