Which of the following are measurements of the sides of a right triangle?

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A. 10, 8, 6
B. 13, 12, 5
C. 26, 24, 10
D. all of the above

IDK HOW TO PUT THEM N2 THE PATHAGOREAM THEOREM.

I GOT IT NVR MIND THE ANSR IT D.

Right!

OMG R U BATMAN?

To determine if the given sets of numbers represent the sides of 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 other two sides.

Let's apply the Pythagorean theorem to each set of numbers:

A. 10, 8, 6:
- The smallest number squared plus the middle number squared equals the largest number squared: 6^2 + 8^2 = 36 + 64 = 100.
- The largest number squared is 10^2 = 100.

Since the sum of the squares of the two smaller sides equals the square of the largest side (10), the set A satisfies the Pythagorean theorem and represents the sides of a right triangle.

B. 13, 12, 5:
- The smallest number squared plus the middle number squared equals the largest number squared: 5^2 + 12^2 = 25 + 144 = 169.
- The largest number squared is 13^2 = 169.

Since the sum of the squares of the two smaller sides equals the square of the largest side (13), the set B satisfies the Pythagorean theorem and represents the sides of a right triangle.

C. 26, 24, 10:
- The smallest number squared plus the middle number squared does not equal the largest number squared: 10^2 + 24^2 = 100 + 576 = 676.
- The largest number squared is 26^2 = 676.

Since the sum of the squares of the two smaller sides (100+576) does equal the square of the largest side (676), the set C also satisfies the Pythagorean theorem and represents the sides of a right triangle.

Therefore, the correct answer is D. All of the above sets (A, B, and C) represent the sides of a right triangle according to the Pythagorean theorem.