To determine if a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Step 1: Identify the longest side. In this case, the longest side is 15 millimeters.

Step 2: Apply the Pythagorean theorem. Square the lengths of the two shorter sides and add them together. Then square the length of the longest side.

(8 mm)^2 + (12 mm)^2 = 64 mm^2 + 144 mm^2 = 208 mm^2

(15 mm)^2 = 225 mm^2

Step 3: Compare the results. If the sum of the squares of the two shorter sides is equal to the square of the longest side, then the triangle is a right triangle.

In this case, 208 mm^2 is not equal to 225 mm^2, so the triangle is not a right triangle.

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To determine if a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Step 1: Identify the longest side. In this case, the longest side is 15 millimeters.

Step 2: Apply the Pythagorean theorem. Square the lengths of the two shorter sides and add them together. Then square the length of the longest side.

(8 mm)^2 + (12 mm)^2 = 64 mm^2 + 144 mm^2 = 208 mm^2

(15 mm)^2 = 225 mm^2

Step 3: Compare the results. If the sum of the squares of the two shorter sides is equal to the square of the longest side, then the triangle is a right triangle.

In this case, 208 mm^2 is not equal to 225 mm^2, so the triangle is not a right triangle.

Knowee AI · Accepted Answer

To determine if a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Step 1: Identify the longest side. In this case, the longest side is 15 millimeters.

Step 2: Apply the Pythagorean theorem. Square the lengths of the two shorter sides and add them together. Then square the length of the longest side.

(8 mm)^2 + (12 mm)^2 = 64 mm^2 + 144 mm^2 = 208 mm^2

(15 mm)^2 = 225 mm^2

Step 3: Compare the results. If the sum of the squares of the two shorter sides is equal to the square of the longest side, then the triangle is a right triangle.

In this case, 208 mm^2 is not equal to 225 mm^2, so the triangle is not a right triangle.

A triangle has sides with lengths of 8 millimeters, 12 millimeters, and 15 millimeters. Is it a right triangle?

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