Question

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 22 22 30 30 24 24 15 15

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the length of the third side of a triangle, we can use 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.

In this case, the first two sides measure 10 and 12. Let's calculate the sum of the two given sides:
10 + 12 = 22

Now, we compare this sum to the choices provided:
- 22: The sum of the two sides is 22.
- 30: The sum of the two sides is 22, which is less than 30.
- 24: The sum of the two sides is 22, which is less than 24.
- 15: The sum of the two sides is 22, which is greater than 15.

Therefore, from the choices provided, the length of the third side of the triangle must be 15.