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,

Algebra ->  Triangles -> 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,      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
A scalene triangle is a triangle that has three unequal 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. 2%2B4%3E7..........this cannot be triangle (
Triangle Inequality Theorem)

2. 4%2B5%3E6..........triangle, and scalene

3. 3%2B5%3E8..........cannot be triangle, 3%2B5=8 (
Triangle Inequality Theorem)

4. 5%2B5%3E8..........triangle, but not scalene; it has two sides same length

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