# 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 9 , 8 , and 14 , respectively. What is the rectangle's area?

Area of rectangle is $57.722$
As side A (hypotenuse) is $9$ and side C is $8$, side B is given by $\sqrt{{9}^{2} - {8}^{2}}$ i.e. $\sqrt{81 - 64} = \sqrt{17} = 4.123$
This side B is also one side of the rectangle, while its adjacent side is $14$
Hence area of rectangle is $14 \cdot 4.123 = 57.722$