To determine whether a triangle can be formed using the Triangle Inequality Theorem, we need to ensure that the sum of the lengths of any two sides is greater than the length of the remaining side.
1) 8, 4, 12:
8 + 4 > 12 - Yes
4 + 12 > 8 - Yes
8 + 12 > 4 - Yes
Therefore, a triangle can be formed with side lengths of 8, 4, and 12.
2) 20, 10, 30:
20 + 10 > 30 - Yes
10 + 30 > 20 - Yes
20 + 30 > 10 - Yes
Therefore, a triangle can be formed with side lengths of 20, 10, and 30.
3) 10, 20, 15:
10 + 20 > 15 - Yes
20 + 15 > 10 - Yes
10 + 15 > 20 - Yes
Therefore, a triangle can be formed with side lengths of 10, 20, and 15.
4) 8, 8, 20:
8 + 8 > 20 - No
8 + 20 > 8 - Yes
8 + 20 > 8 - Yes
Therefore, a triangle cannot be formed with side lengths of 8, 8, and 20.
apply the triangle inequality theorem to determine which three side length form a triangle
8, 4, 12
20, 10, 30
10, 20, 15
8, 8, 20
1 answer
1 answer