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

May 3, 2016

Use Pythagoras to find the length of the third side of the triangle, then : Area = length x breadth.
Answer :$28 \sqrt{13}$

#### Explanation:

:By Pythagoras, the third side of the triangle is $\sqrt{52}$

This is also the breadth of the rectangle.

Area = 14 x $\sqrt{52}$
= 14 x $2 \sqrt{13}$ = $28 \sqrt{13}$