Question

In a right triangle ABC, B =90^o.
If AC= 13 cm, BC = 5 cm, find AB.

Answer 1

Using Pythagoras theorem,

$A{C}^2=A{B}^2+B{C}^2$
$\Rightarrow (13{)}^2=A{B}^2+(5{)}^2$
$\Rightarrow 169=A{B}^2+25$
$\Rightarrow A{B}^2=169-25$
$\Rightarrow A{B}^2=144$
$\Rightarrow AB=12cm$