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

Add the squares of the two smaller sides and compare the sum to the square of the largest side. If the sum of squares of two smaller sides is greater than the square of largest side, then the triangle is an acute triangle.

Smallest sides are 2 in and 4 in

2² + 4² = 4 + 16

= 20 < 5²

So, the triangle is not acute triangle.

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

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