1. The Pythagorean Theorem and Its Converse
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Use the Converse of the Pythagorean Theorem.
Yes, see solution.
We are given the set of three numbers, and want to determine whether they form a Pythagorean triple. Therefore, we have to check if a triangle with the given lengths of sides is a right triangle. We will need to use the Converse of the Pythagorean Theorem.
Converse of the Pythagorean Theorem |
If the sides of a triangle have lengths a, b, and c, and c^2=a^2+b^2, then the triangle is a right triangle. |
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