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 #, #3 #, and #5 #, respectively. What is the rectangle's area?
1 Answer
Mar 10, 2016
≈ 58.095 square units
Explanation:
The area of the rectangle = 5B (length
#xx " breadth ")# To find B use
#color(blue)" Pythagoras' theorem " # since A is the hypotenuse then
# A^2 = B^2 + C^2# hence
#12^2 = B^2 + 3^2 rArr B^2 = 12^2 - 3^2 = 135# now
# B^2 = 135 rArr B =sqrt135# thus area of rectangle
# = 5sqrt135 ≈ 58.095 " square units " #
