# 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 #11 #, #8 #, and #14 #, respectively. What is the rectangle's area?

##### 1 Answer

Jul 3, 2017

#### Explanation:

#"the area of the rectangle "= color(red)(bar(ul(|color(white)(2/2)color(black)(14B)color(white)(2/2)|)))#

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

#B^2=A^2-C^2#

#rArrB=sqrt(11^2-8^2)=sqrt57#

#rArr"area of rectangle "=14xxsqrt57~~105.70" square units"#