Which of the following sets of numbers could represent the three sides of a triangle? O {6, 20, 28} O {4, 11, 15} Submit Answer O {9,19,30} O {5, 15, 19}
we have that
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the hird side
You only need to see that the two smaller sides are greater than the largest side
Verify each set
1) {6, 20, 28}
6+20 > 28
26 > 28 ----> is not true
2) {4, 11, 15}
4+11 > 15
15 > 15-----> is not true
therefore
this set not represent the sides of a triangle
3) {9,19,30}
9+19 > 30
28 > 30 -----> is not true
therefore
this set not represent the sides of a triangle
4) {5, 15, 19}
5+15 > 19
20 > 19 -----> is true
therefore
this set could represent the three sides of a triangle