Question

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

Answer 1

Answer:

An Acute triangle

Step-by-step explanation:

Answer 2

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,

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