Question

Fill in the blanks:

Law of Cosines: In a triangle with side lengths $a,b,\mathrm{and}c,\mathrm{where}\theta$ is the angle between the sides of length a and b,$a^2+b^2-\_\_\_\_\_\_=c^2$

Short answer

The required answer is:$2ab\cos \theta$

Step-by-step solution

Given information

A triangle with side lengths a, b, and c and $\theta$ be the angle between the sides a and b.

Filling in the blanks:

As per the law of cosines:

$a^2+b^2-2ab\cos \theta =c^2$