Question

a triangle has angle measurements of 100°, 31°, and 49°. is this triangle scalene? yes no

Explanation:

Step1: Recall scalene triangle definition

A scalene triangle has all angles of different measures (and thus all sides of different lengths, by the Law of Sines).

Step2: Check angle measures

The given angles are \(100^\circ\), \(31^\circ\), and \(49^\circ\). All three angles are distinct (no two are equal). So, by the definition of a scalene triangle, this triangle is scalene.

Answer:

yes