The measure of two sides of a triangle are 7 and 11. Determine the range of values for the third side of the triangle
To determine the range of values for the third side of the triangle, we need to consider 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.
So, for the measures of the two sides to be 7 and 11, the possible range of values for the third side can be expressed as:
7 + 11 > x
18 > x
The third side must be greater than 18.
So, the range of values for the third side of the triangle is x > 18.
<n<
put it like this
Apologies for that. The correct way to express the range of values for the third side of the triangle is as follows:
18 < x
This means that the third side must be greater than 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 the triangle, we need to consider 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.
Let's denote the length of the third side as 'x'.
Using the theorem, we can write the following inequality:
7 + 11 > x
Simplifying, we have:
18 > x
Therefore, the range of values for the third side of the triangle is given by:
18 < x