A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #14 #, #4 #, and #3 #, respectively. What is the rectangle's area?
See a solution process below:
The image above is the shapes we are dealing with from the question.
We can use the Pythagorean Theorem to find the length of
The Pythagorean Theorem states:
Substituting the values from the problem and solving
The formula for the area of a rectangle is:
Substituting the value from the problem and the value we calculated and calculating