Question

the sides of a triangle are 56, 80, and 42. 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.

Explanation:

Step1: Identify the largest side

The sides are 56, 80, and 42. The largest side is 80.

Step2: Calculate the square of the largest side

$80^2=6400$.

Step3: Calculate the sum of the squares of the other two sides

$56^2 + 42^2=3136+1764 = 4900$.

Step4: Compare the two values

Since $6400>4900$ (the square of the largest side is greater than the sum of the squares of the other two sides).

Answer:

obtuse; is greater than