Question

Apply the Triangle Inequality Theorem to determine which three side lengths form a triangle (1 point)

8,0.20

20, 10, 30

10, 20, 15

8.4.12

Answer 1

In order for three side lengths to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

1. 8 + 0.20 = 8.20 (not greater than 0.20)
2. 20 + 10 = 30 (equal to 30)
3. 10 + 15 = 25 (greater than 20)

Therefore, the side lengths 10, 20, and 15 form a triangle.