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 #12 #, #8 #, and #14 #, respectively. What is the rectangle's area?
1 Answer
May 19, 2017
Explanation:
#"the area (A ) of the rectangle is "#
#• A=14Blarr" length "xx" breadth"#
#"to calculate B, use Pythagoras' theorem"#
#"that is " A^2=B^2+C^2#
#rArrB=sqrt(A^2-C^2)#
#rArrB=sqrt(12^2-8^2)#
#color(white)(rArrB)=sqrt(144-64)#
#color(white)(rArrB)=sqrt80larr" exact value"#
#rArr"area of rectangle "=14xxsqrt80~~125.22#
