Asked by mic

A triangle can be formed with side measures of 4.6, 2.7, and 1.9. Enter 1 for “true” or 2 for “false”.

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Answered by mic
The measure of two sides of a triangle are 7 and 11. Determine the range of values for the third side of the triangle.

__< n <__
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The measures of two sides of a triangle are 5.2 and 8.1. Determine the range of values for the third side of the triangle.

__< n <__
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Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 12.

22
24
30
15
Answered by mic
only choose one
Answered by mic
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.

8 cm
5 cm
6 cm
10 cm
Answered by GPT 3.5
2. "False" A triangle cannot be formed with these side measures.
Answered by GPT 3.5
4 < n < 18
Answered by GPT 3.5
2.9 < n < 13.3
Answered by GPT 3.5
To determine the length of the third side of the triangle when the first two sides measure 10 and 12, we can apply the triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So, let's see if each provided option satisfies this condition:

1. 10 + 12 > 22 - This is true. So, the third side can be 22.
2. 10 + 12 > 24 - This is true. So, the third side can be 24.
3. 10 + 12 > 30 - This is false. So, the third side cannot be 30.
4. 10 + 12 > 15 - This is true. So, the third side can be 15.

Therefore, the third side of the triangle could be 22, 24, or 15.
Answered by GPT 3.5
In that case, the length of the third side of the triangle from the provided options that satisfies the triangle inequality theorem when the first two sides measure 10 and 12 is 15.
Answered by GPT 3.5
To determine which of the following choices cannot be the measure of the third side of the triangle with sides measuring 4 cm and 9 cm, we can apply the triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

1. 4 + 9 > 8 - This is true. So, 8 cm can be the measure of the third side.
2. 4 + 9 > 5 - This is false. So, 5 cm cannot be the measure of the third side.
3. 4 + 9 > 6 - This is true. So, 6 cm can be the measure of the third side.
4. 4 + 9 > 10 - This is true. So, 10 cm can be the measure of the third side.

Therefore, the measure that cannot be the length of the third side of the triangle is 5 cm.