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 #13 #, respectively. What is the rectangle's area?
1 Answer
May 4, 2017
Explanation:
#"Area of rectangle " =13B#
#"require to find B, the third side of the right triangle"#
#"using "color(blue)"Pythagoras' theorem"#
#B^2=A^2-C^2#
#rArrB=sqrt(A^2-C^2)#
#color(white)(rArrB)=sqrt(11^2-8^2)=sqrt57#
#rArr"Area "=13xxsqrt57~~98.15" to 2 decimal places"#
