Question

Suppose a triangle has 3 sides, 3, 4, 6 which of the following must be true

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

Answer 1

B. the triangle in question is not a right triangle

Explanation:

A 3-4-5 triangle is a right triangle, so this one, with its longer longest side, is an obtuse triangle. It is not a right triangle.

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3, 4, 5 is one of the first Pythagorean triples that you learn:

3² + 4² = 5²

These are the side lengths of the smallest right triangle with integer sides. It is worthwhile to remember. This triple is used not only in many math problems (such as this one), but also in real life when it is useful to lay out a right angle.