# If a right triangle has a hypotenuse of 6, and a perimeter of 14, what is the area of the right triangle?

##### 1 Answer

Apr 25, 2018

#### Explanation:

By Pythagoras' theorem, the square on the hypotenuse is equal to the sum of the squares of the other two sides.

Let the two unknown sides be

Then:

The perimeter of a triangle is the sum of all its sides.

Using

Substituting in

Expanding:

Factor:

Substituting

Area of triangle is: