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

$= 126$
In a right-angled triangle $h = 15$; $p = 12$
Hence $b = \sqrt{{h}^{2} - {p}^{2}} = \sqrt{225 - 144} = \sqrt{81} = 9$
Area of the rectangle$= 9 \times 14 = 126$