86.8k views
3 votes
Find the range for the measure of the third side of a triangle when the measures of the other two sides are 22 in. and 17 in.

User Joan Caron
by
7.4k points

1 Answer

3 votes

Answer:

The range for the third side is 11 in. to 40 in.

Explanation:

The third side of a triangle must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. In this case, the two sides have lengths of 22 in. and 17 in., so the third side must have a length between 11 in. (the smaller of the two given lengths) and 40 in. (the sum of the two given lengths).

User Ernist Isabekov
by
7.6k points