Use the triangle inequality, theorem determine which three sides form, a triangle and the triangle we had a BNC would the answer be eight, eight, 20 or would it be 10, 20, 30 or would it be 10, 15, or 20 and last would it be four, eight, or 12?

Question

Use the triangle inequality, theorem determine which three sides form, a triangle and the triangle we had a BNC would the answer be eight, eight, 20 or would it be 10, 20, 30 or would it be 10, 15, or 20 and last would it be four, eight, or 12?

Answer 1

The triangle inequality theorem 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, looking at the options provided:

1. 8, 8, 20: This does not form a triangle because 8 + 8 is not greater than 20.

2. 10, 20, 30: This does not form a triangle because 10 + 20 is not greater than 30.

3. 10, 15, 20: This forms a triangle because 10 + 15 is greater than 20, 15 + 20 is greater than 10, and 10 + 20 is greater than 15.

4. 4, 8, 12: This does not form a triangle because 4 + 8 is not greater than 12.