Question

For each set of three lengths, determine if they can be the side lengths of a triangle.

Lengths
Can be side lengths
of a triangle
Cannot be side
lengths of a triangle
20, 16, 6
7, 7,3
O
3, 7, 14
O
o
9.9. 25.0, 15.6
O

Answer 1

20, 16, 6 can be side lengths

7, 7, 3 can be side lengths

3, 7, 14 cannot be side lengths

9.9, 25.0, 15.6 can be side lengths

Explanation:

The rule for determining if three length can make up a triangle is to consider the length of any of the two and compare with the third length to check if it's greater.

mathematically, assume that a, b, c are three lengths. they will only form a triangle if these three conditions are true.

a + b > c;

b + c > a;

a + c > b;

That is the reason the only 3,7,14 cannot form a triangle because 3 + 4 < 14