Question

The two sides of a right-angled triangle are given as shown in the figure. Find the third side.

Answer 1

Given;
Perpendicular $=15\text{cm}$
Base $=b\text{cm}$
Hypotenuse $=17\text{cm}$
As per the Pythagorean Theorem, we have;
${\text{Perpendicular}}^2+{\text{Base}}^2={\text{Hypotenuse}}^2$
$\Rightarrow {15}^2+b^2={17}^2$
$\Rightarrow 225+b^2=289$
$\Rightarrow b^2=289-225$
$\Rightarrow b^2=64$
$\Rightarrow b=\sqrt{64}$
Therefore, $b=8\text{cm}$