Impossible Triangle Conditions

Impossible Triangle Conditions

Introduction

The interior angles of a triangle follow a fixed mathematical relationship. Before attempting to construct a triangle from three given angle measures, it is necessary to determine whether those angles can form a ...

Nicole is designing a triangular flag for her school. She wants its three interior angles to measure 70 degrees, 40 degrees, and 60 degrees.

First, she needs to find out whether these angle measures can form a triangle.

In every triangle, each interior angle is greater than 0 degrees, and the measures of the three interior angles add...