Question

Suppose a triangle has sides 1, 1, and 1. Which of the following must be true?

A. The triangle in question may or may not be a right triangle.
B. The triangle in question is a right triangle.
C. The triangle in question is not a right triangle.

Answer 1

the triangle in question is not a right triangle

Answer 2

The answer would be C. The triangle in question is NOT a right triangle.

For one thing, remember that a right triangle has a HYPOTENUSE, which is the LONGEST side. This shows that not all the sides has the same length. Also, remember the Pythagorean theorem:

c² = a² + b²

This means that they cannot all be equal.

If a triangle has 3 equal sides, then the triangle is an equilateral triangle.