Question

the sides of a triangle are 35, 91, and 77. 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 35, 77, 91. The largest side is 91.

Step2: Calculate the square of the largest side

$91^2=8281$.

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

$35^2 + 77^2=1225+5929 = 7154$.

Step4: Compare the two values

Since $8281>7154$ (i.e., the square of the largest side is greater than the sum of the squares of the other two sides).

Answer:

obtuse; is greater than