# 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 7/9 , 2/5 , and 8 , respectively. What is the rectangle's area?

Dec 25, 2017

Area of rectangle = 5.336

#### Explanation:

ABC is a right triangle. A is the hypotenuse, C is one side and B is the other side.

$\therefore$ Side B = $\sqrt{{A}^{2} - {C}^{2}} = \sqrt{{\left(\frac{7}{9}\right)}^{2} - {\left(\frac{2}{5}\right)}^{2}} = 0.667$

B is also the breadth of the rectangle.

Hence, Breadth of rectangle $B = 0.667$

Given - Length of rectangle $L = 8$

Area of rectangle $= L \cdot B = 8 \cdot 0.667 = 5.336$