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!