Question

The measure of two sides of a triangle are 7 and 11. Determine the range of values for the third side of the triangle.(1 point) please

Answer 1

To determine the range of values for the third side of the triangle, we can use the triangle inequality theorem. According to this theorem, any side of a triangle must be shorter than the sum of the lengths of the other two sides and longer than the difference between the lengths of the other two sides.

Given that the two sides of the triangle measure 7 and 11, we can determine the range of possible values for the third side:

Shortest possible length: 11 - 7 = 4
Longest possible length: 11 + 7 = 18

Therefore, the range of values for the third side of the triangle is 4 < x < 18, where x represents the length of the third side.