# A right triangle has a perimeter of 12 and sides x, (x + 1), and (x + 2). What is the area of the triangle?

##### 2 Answers

Feb 2, 2016

This is not a right triangle:

Use pythagoras theorem:

The hypotenuse is the longest.

In this triangle the longest side is

So,The the product of the other two sides must equal the hypotenuse.

So,This is not a right triangle.

Feb 2, 2016

Area =

#### Explanation:

The perimeter of the triangle is 12 units, so the three sides add up to 12. Therefore

This simplifies to

which is then

The formula for the area of a triangle is