Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle? The triangle is acute because 22 + 52 > 42.
The triangle is acute because 2 + 4 > 5.
The triangle is not acute because 22 + 42 < 52.
The triangle is not acute because 22 < 42 + 52.

The triangle is not acute because 2^2 + 4^2 < 5^2

Step-by-step explanation:

2^2 is side a,

4^2 is side b,

5^2 is side c,

then

c^2 = a^2 + b^2 is right triangle

c^2 > a^2 + b^2 is obtuse

c^2 < a^2 + b^2 is acute

If we insert the numbers into the equation and square them:

c^2 = a^2 + b^2

25 = 4 + 16

25 > 20

This means the triangle is NOT accute, but obtuse