COPY: Master the Pythagorean Theorem

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Questions and Answers

What is the Pythagorean Theorem?

The sum of the squares of the two legs of a right triangle is equal to the square of the opposite angle.
The sum of the squares of the two legs of a triangle is equal to the square of the hypotenuse.
The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. (correct)
The sum of the squares of the two legs of a triangle is equal to the square of the opposite angle.

How many known proofs of the Pythagorean Theorem are there?

50
500
100
370 (correct)

What is the Law of Cosines?

A theorem that only applies to right triangles.
A theorem that relates the sides of three triangles.
A more general theorem relating the lengths of sides in any triangle. (correct)
A theorem that relates the sine and cosine of an angle in a right triangle to the lengths of its sides.

What is De Gua's theorem?

A substantial generalization of the Pythagorean Theorem to three dimensions. (C) Signup and view all the answers

What is the Pythagorean Trigonometric Identity?

A relation between the sine and cosine of an angle in a right triangle to the lengths of its sides. (D) Signup and view all the answers

What are Pythagorean triples?

Three positive integers a, b, and c, such that a^2 + b^2 = c^2, and they represent the lengths of the sides of a right triangle where all three sides have integer lengths. (C) Signup and view all the answers