# 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 12 , 7 , and 9 , respectively. What is the rectangle's area?

Nov 4, 2017

$\text{Area} = 31.5$

#### Explanation:

One can chose one of the two sides that is not the hypotenuse to be the base, this will force the remaining side to be height, then use the following equation:

$\text{Area" = 1/2"base"xx"height}$

I shall chose 7 to be the base; this forces 9 to be the height:

$\text{Area} = \left(\frac{1}{2}\right) \cdot 7 \cdot 9$

$\text{Area} = 31.5$