# How do you find the perimeter and area of a right triangle if the shortest side is 9cm and the longest side is 15cm?

Mar 16, 2018

The perimeter is $36 \setminus c m$ and the area is $54 \setminus c {m}^{2}$.

#### Explanation:

In a right triangle, the longest side is always the hypotenuse.

With this information, we can find the length of the unknown side, using Pythagorean Theorem,

Length$= \sqrt{{15}^{2} - {9}^{2}}$
$\textcolor{w h i t e}{\times x . .} = 12$

Perimeter$= 9 + 12 + 15$
$\textcolor{w h i t e}{\times \times \times} = 36$

Area$= \frac{1}{2} \cdot 9 \cdot 12$
$\textcolor{w h i t e}{\times x} = 54$