Question

which set of side lengths will not create a triangle? responses 2, 5, 6 2, 5, 6, endfragment, 5, 7, 10 5, 7, 10, endfragment, 4, 6, 8 4, 6, 8, endfragment, 3, 4, 10

Answer 1

3, 4, 10 as per triangle inequality

Explanation:

we have the triangle inequality where the sum of any two sides is greater than or equal to the third.

triangle 1: (2,5,6)

2+5>6

2+6>5

6+5>2

this is a possible triangle.

triangle 2: (5,7,10)

5+7>10

5+10>7

7+10>5

this is a possible triangle.

triangle 3: (4,6,8)

4+6>8

4+8>6

6+8>4

this is a possible triangle.

triangle 4: (3,4,10)

3+4<10

so this is not a triangle.