Question

the sides of a triangle are 58, 33, and 85. use the pythagorean theorem to determine if the triangle is right, acute, or obtuse.
answer
the triangle is
because the square of the largest side
the sum of the squares of the other two sides.

Explanation:

Step1: Square the largest side

$85^2 = 7225$

Step2: Sum squares of other sides

$58^2 + 33^2 = 3364 + 1089 = 4453$

Step3: Compare the two values

$7225 > 4453$

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.