SOLUTION: phil is cutting a triangular piece of tile. if the triangle is scalene, which set of numbers could represent the lengths of the sides? 1) {2,4,7} 2) {4,5,6} 3) {3,5,8} 4) {5,5,

Question 650367: phil is cutting a triangular piece of tile. if the triangle is scalene, which set of numbers could represent the lengths of the sides?
1) {2,4,7}
2) {4,5,6}
3) {3,5,8}
4) {5,5,8}
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
A scalene triangle is a triangle that has three sides.

Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

check it with your sets of numbers:
1. ..........this be triangle (
Triangle Inequality Theorem)

2. ..........triangle, and

3. .......... be triangle, (
Triangle Inequality Theorem)

4. ..........triangle, but scalene; it has two sides same length

so, answer is 2) {4,5,6}

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