Question

The area of a right triangle with one leg measuring 5 ft. and hypotenuse measuring 13 ft. is_______ a0. Type a numerical answer in the space provided. Do not include units or use spaces in your answer.

Answer 1

Area of the triangle = (1/2)*base*height

For right triangle base and height can be legs.

We have one leg = 5 ft. (Lets think it is a base.)

We need to find the other leg.

We are going to use Pythagorean theorem.

5² + b²=13²

b²=144

b=12 (It is going to be our height.)

Area of the triangle = (1/2)*5*12= 30 ft²

Area of the triangle = 30 ft²