Question

Which best describes a triangle with side lengths 4 inches, 5 inches, 6 inches ?

Answer 1

It is an acute triangle, because the following characterization holds:

• If
  `c^2<a^2+b^2`, the triangle is acute
• If
  `c^2=a^2+b^2`, the triangle is right
• If
  `c^2>a^2+b^2`, the triangle is obtuse

In this case,

`6^2=36<5^2+4^2=25+16=41`

Answer 2

An Acute triangle

Explanation: