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
Jim G.
Feb 20, 2016

C = sqrt130 ≈ 11.4

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

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