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)

Question

Responses

22
22

30
30

24
24

15

Answer 1

To determine the length of the third side of a triangle, we can use the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

In this case, the first two sides measure 10 and 12. Let's check each option to see if it satisfies the triangle inequality theorem.

1. Sum of 10 and 12: 10 + 12 = 22. This option satisfies the triangle inequality theorem, so it is a possible length for the third side of the triangle.

2. Sum of 10 and 12: 10 + 12 = 22. This option also satisfies the triangle inequality theorem, so it is another possible length for the third side of the triangle.

3. Sum of 10 and 12: 10 + 12 = 22. This option does not satisfy the triangle inequality theorem, as 22 is not greater than 24.

4. Sum of 10 and 12: 10 + 12 = 22. This option does not satisfy the triangle inequality theorem, as 22 is not greater than 15.

Based on the analysis, the possible lengths for the third side of the triangle are 22 and 22.

Answer 2

wrong

Answer 3

My apologies for the mistake. Let's reassess the options:

1. Sum of 10 and 12: 10 + 12 = 22. This option satisfies the triangle inequality theorem.

2. Sum of 10 and 12: 10 + 12 = 22. This option also satisfies the triangle inequality theorem.

3. Sum of 10 and 12: 10 + 12 = 22. This option does not satisfy the triangle inequality theorem, as 22 is not greater than 24.

4. Sum of 10 and 12: 10 + 12 = 22. This option does not satisfy the triangle inequality theorem, as 22 is not greater than 15.

Based on the updated analysis, the possible length for the third side of the triangle is 22.