A triangle has sides A, B, and C. Sides A and B are of lengths $4$ and $7$ , respectively, and the angle between A and B is $(pi)/2$ . What is the length of side C?

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Answer 1 · 2016-07-02T01:47:36

Here is a diagram.

enter image source here

This triangle is right--hence, we can use pythagorean theorem.

$a^2 + b^2 = c^2$

$4^2 + 7^2 = c^2$

$16 + 49 = c^2$

$65 = c^2$

$sqrt(65) = c$

Thus, the length of side $C$ is $sqrt(65)$ units.

Hopefully this helps!

A triangle has sides A, B, and C. Sides A and B are of lengths 44 and 77, respectively, and the angle between A and B is (pi)/2 (pi)/2 . What is the length of side C?