A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #4#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
1 Answer
Mar 20, 2016
Explanation:
Since the angle between A and B is a right angle
# pi/2#
Then we can use#color(blue)" Pythagoras' theorem " # The side C is the hypotenuse and so
# C^2 = A^2 + B^2 #
# rArr C^2 = 6^2 + 4^2 = 36 + 16 = 52 # now
# C^2 = 52 rArr C = sqrt52 ≈ 7.211 #
