Question

Which are the possible side lengths of a triangle?

3 cm, 5 cm, 9 cm
4 cm, 8 cm, 10 cm
6 cm, 9 cm, 17 cm
108 cm, 10 cm, 18 cm

Answer 1

4 cm, 8 cm, 10 cm

Explanation:

According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the measure of the 3rd side.

4+8=12, which is greater than 10.

8+10=18 which is greater than 4.

10+4= 14, which is greater than 8.

Therefore a triangle with the side lengths 4 cm, 8cm, and 10cm would follow the Triangle Inequality Theorem. This means that those lengths could be a possible triangle.

Answer 2

The answer is

B. 4cm, 8cm and 10cm

Explanation:

Hope this helps.