Question

Can the sides of a triangle have lengths 1.8, 3.8, and 1.2?

Answer 1

No

Explanation:

Use the triangle inequality theorem to check if it is possible:

`1.8+3.8=5.6>1.2\\1.2+3.8=5.0>1.8\\1.2+1.8=3.0>3.8`

The third inequality is false, thus concluding that it is not possible for a triangle to have lengths of 1.8, 3.8, and 1.2.