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 15/7 , 3/5 , and 3 , respectively. What is the rectangle's area?

Mar 18, 2016

I have taken you to a point where you can finish it off!

Explanation:

Using Pythagoras

Area of rectangle = 3B $= 3 \times \sqrt{{\left(\frac{15}{7}\right)}^{2} - {\left(\frac{3}{5}\right)}^{2}}$

Using the property of ${a}^{2} - {b}^{2} = \left(a - b\right) \left(a + b\right)$

$\text{Area } = 3 \times \sqrt{\left(\frac{15}{7} - \frac{3}{5}\right) \left(\frac{15}{7} + \frac{3}{5}\right)}$

I will let you finish this off!