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 sout of 2 The triangle is square because the square of the largest side square the sum of the squares of the other two sides.

## Step 1The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This can be written as:### where is the length of the hypotenuse, and and are the lengths of the other two sides.## Step 2In this problem, the sides of the triangle are 96, 83, and 66. The largest side is 96, so we will consider this as the hypotenuse.## Step 3We need to compare the square of the largest side with the sum of the squares of the other two sides. If the square of the largest side is equal to the sum of the squares of the other two sides, the triangle is right-angled. If the square of the largest side is greater than the sum of the squares of the other two sides, the triangle is obtuse. If the square of the largest side is less than the sum of the squares of the other two sides, the triangle is acute.## Step 4Let's calculate the squares of the sides:### ### ### ## Step 5Now, let's compare with :### ### ## Step 6Since is less than , the triangle is acute.