The base of a right triangle is 1 foot, and the interior angles are 45-45-90. What is its area?

The base of a right triangle is 1 foot, and the interior angles are 45-45-90. What is its area?

Detailed Explanation

If you draw out this triangle, you'll see that it is a right isosceles triangle with two equal sides of 1 foot. This means that the base is 1 foot and the height is 1 foot. Using the formula for area of triangles, \(A= \frac{\mathrm{1} }{\mathrm{2} }bh \) , we find the area is 0.5 feet squared.