Question

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

Answer 1

The perimeter is `36 \ cm` and the area is `54 \ cm^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)`
`color(white)(xxx..)=12`

Perimeter`=9+12+15`
`color(white)(xxxxxx)=36`

Area`=1/2*9*12`
`color(white)(xxx)=54`