the first two sides of a triangle are 10 and 12 what is the third side leanth

Answer 1

To find the length of the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So in this case, we have two sides with lengths of 10 and 12. Let's denote the length of the third side as x.

Using the triangle inequality theorem:
10 + 12 > x
22 > x

Since 22 is greater than x, x must be less than 22.

Therefore, the length of the third side must be greater than 2 and less than 22.