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 #7 #, #3 #, and #8 #, respectively. What is the rectangle's area?
1 Answer
Jun 22, 2017
Explanation:
#" the area (A ) of the rectangle is " color(red)(bar(ul(|color(white)(2/2)color(black)(A=8B)color(white)(2/2)|)))#
#"to find B use "color(blue)"Pythagoras' theorem"#
#B^2=A^2-C^2#
#color(white)(B^2)=7^2-3^2=49-9=40#
#rArrB=sqrt40=2sqrt10#
#rArrA=8xx2sqrt10~~50.6" to 1 decimal place"#
