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 #, #3/5 #, and #6 #, respectively. What is the rectangle's area?
1 Answer
Mar 8, 2017
Explanation:
Side
#B = sqrt(A^2-C^2)#
#color(white)(B) = sqrt((15/8)^2-(3/5)^2)#
#color(white)(B) = sqrt(225/64-9/25)#
#color(white)(B) = sqrt(5049/1600)#
#color(white)(B) = (3sqrt(561))/40#
So the area of the rectangle is:
#6B = (18sqrt(561))/40 = (9sqrt(561))/20#
