Pythagorean Theorem and its converse

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What is the Pythagorean Theorem?

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What is the converse of the Pythagorean Theorem?

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The converse of the Pythagorean Theorem states that if in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

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What is a hypotenuse?

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The hypotenuse is the longest side of a right triangle, opposite the right angle.

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What does it mean for a triangle to be acute?

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An acute triangle is a triangle where all three interior angles are less than 90 degrees.

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What does it mean for a triangle to be obtuse?

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An obtuse triangle is a triangle where one of the interior angles is greater than 90 degrees.

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What does it mean for a triangle to be right?

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A right triangle is a triangle that has one angle equal to 90 degrees.

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How do you determine if three lengths can form a triangle?

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The triangle inequality theorem states that for any three lengths a, b, and c, they can form a triangle if: a + b > c, a + c > b, and b + c > a.

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What is the distance formula derived from the Pythagorean Theorem?

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