# What is the area of a 45-45-90 triangle, with a hypotenuse of 8mm in length?

##### 1 Answer

#### Explanation:

The formula for calculating the area of a triangle is

Thanks to the fact that this is a 45-45-90 triangle the base of the triangle and the height of the triangle are equal. So we simply need to find the values of the two sides and plug them into the formula.

We have the length of the hypotenuse, so we can use the pythagorean theorem to calculate the length of the two sides.

(we know the area is going to be measured in

We can simplify here, because we know the two remaining sides are equal. So we're just going to solve for

Both non-hypotenuse sides of the triangle are