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 #, #1 #, and #4 #, respectively. What is the rectangle's area?
1 Answer
Mar 20, 2016
≈ 59.87 square units
Explanation:
The area of the rectangle = 4B . To calculate the value , requires knowing the value of B.
Since the triangle is right we can find B, using#color(blue)" Pythagoras' theorem " # The hypotenuse is A hence :
# A^2 = B^2 + C^2 # and
# B^2 = A^2 -C^2 = 15^2 - 1^2 = 224 # now
# B^2 = 224 rArr B = sqrt224 # and area of rectangle = 4B =
# 4xxsqrt224 ≈ 59.87#
