A triangle has sides A, B, and C. Sides A and B are of lengths #9# and #7#, respectively, and the angle between A and B is #(pi)/2 #. What is the length of side C?
1 Answer
Feb 20, 2016
C =
Explanation:
Since the angle between A and B is
#pi/2 " then this is a right triangle with C , the hypotenuse."# hence C, can be found using
#color(blue)" Pythagoras' Theorem"#
#C^2 = A^2 + B^2 rArr C^2 = 9^2 + 7^2 = 81 + 49 = 130 #
#rArr C = sqrt130 ≈ 11.4#
