Question

Create two sets of three triangle lengths: one set that does create a right triangle and another that does not. Show and explain why the first set does create a right triangle and why the second set does not.

Answer 1

one set that does create a right triangle: (3, 4, 5)

another that does not: (3, 4, 6)

@areon122

Your task is to show that these lengths satisfy the conditions.

Use the converse of the Pythagorean Theorem to do that.
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Pythagorean Theorem converse:

If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.