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 #, #8 #, and #4 #, respectively. What is the rectangle's area?
1 Answer
Dec 20, 2017
Explanation:
#"the rectangles area "=4B#
#"to find B use "color(blue)"Pythagoras' theorem"#
#8^2+B^2=15^2#
#rArrB=sqrt(15^2-8^2)=sqrt161~~12.689#
#rArr"area of rectangle "=4xx12.689~~50.756#