Question

question
the sides of a triangle are 55, 69, and 73. 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.
submit answer

Explanation:

Step1: Calculate the square of the largest side

The largest side is \(73\), so \(73^{2}=5329\)

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

The other two sides are \(55\) and \(69\). So \(55^{2}+69^{2}=3025 + 4761=7786\)

Step3: Compare the two values

Since \(5329<7786\) (i.e., \(c^{2}

Answer:

The triangle is acute because the square of the largest side is less than the sum of the squares of the other two sides.