Suppose a triangle has two sides of lengths 2 and 5 and that the angle between these two sides is 60 degrees. What is the length of the third side of the triangle?

Verified Answer :

We are given two sides and an angle in between the two sides.

Recognize this?

Side-Angle-Side.

We can use the Law of Cosines to calculate the missing side.

\(c^{2} = 2^2 + 5^2 - 2 * 2 * 5 * cos(60) c^2 = 4+25-20*cos(60)\)

\(c^2 = 4+25-20*cos(60)\)

\(c^2 = 19\)

\(c = \sqrt{19}\)

Answer:

The answer is √19

Step-by-step explanation: