Question

question
the sides of a triangle are 45, 47, and 33. use the pythagorean theorem to determine if the
triangle is right, acute, or obtuse.
answer attempt 1 out of 2
the triangle is ▼ because the square of the largest side ▼ the
sum of the squares of the other two sides.
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Explanation:

Step1: Calculate the square of the largest side

The largest side is \(47\), so \(47^{2}=2209\)

Step2: Calculate the sum of the squares of the other two sides

The other two sides are \(45\) and \(33\). So \(45^{2}+33^{2}=2025 + 1089=3114\)

Step3: Compare the two values

Since \(2209<3114\) (i.e., \(47^{2}<45^{2}+33^{2}\)), according to the Pythagorean theorem's converse: if \(c\) is the length of the longest side of a triangle and \(a,b\) are the lengths of the other two sides, then if \(c^{2}

Answer:

The triangle is acute.