Do the following lengths form a right triangle ?

Yes.

Step-by-step explanation:

If you can fit them in the Pythagorean theorem equation and make the equation true, then they do form a right triangle.

one leg length = 5

other leg length = 12

hypotenuse length = 13

The Pythagorean theorem equation is

a^2 + b^2 = c^2

where a and b are the lengths of the legs, and c is the length of the hypotenuse.

5^2 + 12^2 = 13^2

25 + 144 = 169

169 = 169

Since the lengths do make the equation true, the three lengths do form a right triangle.

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