5.2.3 The Pythagorean Theorem Flashcards

1
Q

Pythagorean triple

A

a set of three nonzero whole numbers a, b, and c such that a^2 + b^2= c^2

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2
Q

Pythagorean Theorem

A

In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

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3
Q

Converse of the Pythagorean Theorem

A

If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangle is a right triangle.

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4
Q

Pythagorean Inequalities Theorem

A

In △ABC, c is the length of the longest side. If c^2 > a^2 + b^2, then △ABC is an obtuse triangle. If c^2

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