Which of the following could represent the lengths of the sides of the triangle shown below?
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We have a right triangle. The Pythagorean theorem states that the sum of the squares of two sides is equal to the hypotenuse squared in a right triangle.
The three sides must follow the Pythagorean theorem converse. Converse means that if the triangle is right-angled, we always get the true equation.
So, option C is right.
is a Pythagorean triple. Then, for a positive number , is also a Pythagorean triple, as two triangles are similar.
Let's bring an example, a Pythagorean triple . If we triple the lengths, we get which was our answer.
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