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
Jim G.
Mar 20, 2016

sqrt52 ≈ 7.211

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

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