please help ### Understanding Triangle Validity Using Sides**Problem Statement:**Determine if the given sets of numbers can form a triangle. Use mathematical calculations to support your answer.1. **Sides Provided:** a.) 7, 12, 15 b.) 6, 8, 12 c.) 5, 4, 3### Solution Explanation:To determine if three sides form a triangle, we use the Triangle Inequality Theorem. This theorem states that for any three sides to form a triangle:1. The sum of any two sides must be greater than the third side.Let's evaluate each set:#### a.) Sides 7, 12, 151. Check: 7 + 12 > 15 → 19 > 15 (True)2. Check: 7 + 15 > 12 → 22 > 12 (True)3. Check: 12 + 15 > 7 → 27 > 7 (True)Since all conditions satisfy the triangle inequality theorem, the sides 7, 12, 15 **can** form a triangle.#### b.) Sides 6, 8, 121. Check: 6 + 8 > 12 → 14 > 12 (True)2. Check: 6 + 12 > 8 → 18 > 8 (True)3. Check: 8 + 12 > 6 → 20 > 6 (True)Since all conditions satisfy the triangle inequality theorem, the sides 6, 8, 12 **can** form a triangle.#### c.) Sides 5, 4, 31. Check: 5 + 4 > 3 → 9 > 3 (True)2. Check: 5 + 3 > 4 → 8 > 4 (True)3. Check: 4 + 3 > 5 → 7 > 5 (True)Since all conditions satisfy the triangle inequality theorem, the sides 5, 4, 3 **can** form a triangle.### Conclusion:Each of the given sets of sides can form a triangle. All sets meet the criteria set by the Triangle Inequality Theorem, thus verifying their validity to form triangles.

Name: please help ### Understanding Triangle Validity Using Sides**Problem S
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: please help ### Understanding Triangle Validity Using Sides**Problem Statement:**Determine if the given sets of numbers can form a triangle. Use mathematical calculations to support your answer.1. **Sides Provided:** a.) 7, 12, 15 b.) 6, 8, 12