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 <
The third side of a triangle must be greater than the difference between the lengths of the other two sides, and smaller than the sum of the lengths of the other two sides.
So, the range of values for the third side of the triangle is:
7 + 11 = 18
11 - 7 = 4
Therefore, 4 < n < 18.
The measure of two sides of a triangle are 5.2 and 8.1 . Determine the range of values for the third side of the triangle.(1 point) <n<
The third side of a triangle must be greater than the difference between the lengths of the other two sides, and smaller than the sum of the lengths of the other two sides.
So, the range of values for the third side of the triangle is:
8.1 + 5.2 = 13.3
8.1 - 5.2 = 2.9
Therefore, 2.9 < n < 13.3.
Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 12.(1 point) Responses 30 24 15 22
To determine the length of the third side of the triangle, you need to check if it satisfies the triangle inequality theorem. According to the theorem, the length of the third side must be greater than the difference between the other two sides and smaller than their sum.
Given the first two sides of the triangle are 10 and 12, we can find the range of values for the third side:
12 - 10 = 2
10 + 12 = 22
Therefore, the length of the third side must be greater than 2 and smaller than 22.
Among the given choices, the length of the third side satisfying this range is 15.
Two sides of a triangle measure 4 cm and 9 cm. Determine which of the following choices cannot be the measure of the third side. (1 point) Responses 8 cm 8 6 cm 10 cm 5 cm
To determine which of the following choices cannot be the measure of the third side of the triangle, we need to check if they satisfy the triangle inequality theorem. The theorem states that the length of the third side must be greater than the difference between the other two sides and smaller than their sum.
Given the first two sides of the triangle are 4 cm and 9 cm, we can find the range of values for the third side:
9 - 4 = 5
4 + 9 = 13
Therefore, the length of the third side must be greater than 5 cm and smaller than 13 cm.
Among the given choices, the measure of the third side that does not satisfy this range is 10 cm.
Apply the Triangle Inequality Theorem and determine which option could be the third side of a triangle if the first two sides measure 4 and 6.(1 point) Responses 11 2 9 1
To determine which option could be the third side of a triangle with the first two sides measuring 4 and 6, we need to apply the triangle inequality theorem. According to the theorem, the length of the third side must be greater than the difference between the other two sides and smaller than their sum.
Given the first two sides of the triangle are 4 and 6, we can find the range of values for the third side:
6 - 4 = 2
4 + 6 = 10
Therefore, the length of the third side must be greater than 2 and smaller than 10.
Among the given choices, the option that satisfies this range is 9.