Question

the sides of a triangle are 96, 83, and 66. use the pythagorean theorem to determine if the triangle is right, acute, or obtuse. answer attempt 1 out of 2 the triangle is acute because the square of the largest side the sum of the squares of the other two sides.

Explanation:

Step1: Identify the largest side

The largest side is 96.

Step2: Calculate the square of the largest side

$96^2=9216$.

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

$83^2 + 66^2=6889+4356 = 11245$.

Step4: Compare the two values

Since $9216<11245$ (square of the largest side is less than the sum of the squares of the other two sides), the triangle is acute.

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.