# How do you find the angle C formed by the sides of length 2, 3, and 7?

##### 1 Answer

Not such triangle exists (you can't have a triangle where one side is more that the sum of the lengths of the other two sides).

However, to demonstrate the process:

(and noting that you could get 3 different answers depending upon which side you decide angle C is opposite.)

For demonstration purposes, I will assume the sides are

with angle C opposite side

The Law of Cosines:

can be rearranged as

for the supplied values

beyond this you should be able to do the arithmetic and look up the