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, it's 15 inches.

Step 2: Square the lengths of all sides:
10^2 = 100
12^2 = 144
15^2 = 225

Step 3: Check if the square of the longest side is equal to the sum of the squares of the other two sides:
100 + 144 = 244

Since 244 is not equal to 225, this 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, it's 15 inches.

Step 2: Square the lengths of all sides:
10^2 = 100
12^2 = 144
15^2 = 225

Step 3: Check if the square of the longest side is equal to the sum of the squares of the other two sides:
100 + 144 = 244

Since 244 is not equal to 225, this 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, it's 15 inches.

Step 2: Square the lengths of all sides:
10^2 = 100
12^2 = 144
15^2 = 225

Step 3: Check if the square of the longest side is equal to the sum of the squares of the other two sides:
100 + 144 = 244

Since 244 is not equal to 225, this triangle is not a right triangle.

orWatch a videoA triangle has sides with lengths of 10 inches, 12 inches, and 15 inches. Is it a right triangle?

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