# Triangle has two sides that have lengths of 17 feet and 22 feet. Which ofthe following lengths could not represent the length of the third side?

##### 1 Answer

Dec 10, 2016

length of the third side will have a value between 5 and 39.

#### Explanation:

Sol. 1)

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let

Given that

Hence, the third side

Sol.2)

Using the cosine law of solving triangles.

Let the included angle between sides

as

or

or

Hence, the third side