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 #16 #, #4 #, and #3 #, respectively. What is the rectangle's area?
1 Answer
Aug 19, 2017
Explanation:
#"the area (A) of the rectangle is "color(red)(bar(ul(|color(white)(2/2)color(black)(A=3B)color(white)(2/2)|)))#
#"to find B use "color(blue)"Pythagoras' theorem"#
#B=sqrt(A^2-C^2)#
#color(white)(B)=sqrt(16^2-4^2)=sqrt240#
#rArr"area of rectangle "=3xxsqrt240~~ 46.476#
