Question

question
the sides of a triangle are 95, 34, and 70. 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: Identify largest side, square it

Largest side = 95. Calculate $95^2 = 9025$

Step2: Sum squares of other sides

Calculate $34^2 + 70^2 = 1156 + 4900 = 6056$

Step3: Compare the two values

Compare $9025$ and $6056$. Since $9025 > 6056$, the square of the largest side is greater than the sum of the squares of the other two sides.

Answer:

The triangle is obtuse, because the square of the largest side is greater than the sum of the squares of the other two sides.