Question

For each set of side lengths and angle measures, determine if a triangle is possible and explain in complete sentences. If a triangle is possible, classify the triangle.

Answer 1

To determine whether a triangle is possible, we can use the Triangle Inequality Theorem. This theorem states that the sum of the side lengths of any two sides of a triangle must exceed the length of the third side.

In the question, we have two sides that are 15cm and 10cm. Adding the two is 25 cm which does not exceed the length of the third side that is 29 cm. Hence, it failed to follow the Triangle Inequality Theorem.

In this case, a triangle is not possible.