# 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 8 , 7 , and 17 , respectively. What is the rectangle's area?

Area $= 17 \sqrt{15} \text{ }$square units
side $b = \sqrt{{8}^{2} - {7}^{2}} \sqrt{64 - 49} = \sqrt{15}$
Area $= 17 \cdot b = 17 \cdot \sqrt{15}$