# 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 #, #6 #, and #16 #, respectively. What is the rectangle's area?

##### 1 Answer

Feb 14, 2017

#### Explanation:

The area (A ) of the rectangle attached to side B is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(A=16xxB)color(white)(2/2)|)))# We require to find the side B.

Using

#color(blue)"Pythagoras' theorem"# on the right triangle.

#B^2+6^2=7^2#

#rArrB=sqrt(7^2-6^2)=sqrt(49-36)=sqrt13≈3.6#

#rArr"Area of rectangle "=16xx3.6=57.6" square units"#