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) <n< 18
To find the range of values for the third side of the triangle, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, for a triangle with side lengths 7 and 11, the range of values for the third side can be expressed as:
7 + 11 > third side
18 > third side
So, the range of values for the third side of the triangle is <n< 18.
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) <n<
To determine the range of values for the third side of a triangle with side lengths 7 and 11, we can apply the triangle inequality theorem.
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. We can express this inequality as:
7 + 11 > third side
Simplifying the inequality, we have:
18 > third side
Therefore, the range of values for the third side of the triangle is less than 18. In interval notation, this can be written as:
<n< 18