# 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 #16 #, #4 #, and #3 #, respectively. What is the rectangle's area?

##### 1 Answer

Aug 19, 2017

#### Explanation:

#"the area (A) of the rectangle is "color(red)(bar(ul(|color(white)(2/2)color(black)(A=3B)color(white)(2/2)|)))#

#"to find B use "color(blue)"Pythagoras' theorem"#

#B=sqrt(A^2-C^2)#

#color(white)(B)=sqrt(16^2-4^2)=sqrt240#

#rArr"area of rectangle "=3xxsqrt240~~ 46.476#