Question

You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you construct using these measurements?

Answer 1

0 triangles you can construct

Answer 2

Answer: Only one.

Explanation:

We are given that in a triangle two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°.

Suppose there is also a triangle with the same measures.

Then both the triangles are congruent by SAS congruence postulate.

Thus, every triangle with the given measurement are congruent to each other by SAS postulate.

Therefore, only one triangle can be possible with the given measurement.