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The Pythagorean Theorem Quiz

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Questions and Answers

Which of the following equations represents the Pythagorean theorem?

$a + b = c$

$a^2 + b^2 = c^2$ (correct)

$a^2 = b^2 + c^2$

$c^2 = a^2 + b^2$

Who is the theorem named after?

Euclid

Euclid and Pythagoras

Archimedes

Pythagoras (correct)

What is the relation between the sides of a right triangle according to the Pythagorean theorem?

The difference between the lengths of the two shorter sides is equal to the length of the hypotenuse.

The product of the lengths of the two shorter sides is equal to the length of the hypotenuse.

The ratio of the lengths of the two shorter sides is equal to the length of the hypotenuse.

The sum of the lengths of the two shorter sides is equal to the length of the hypotenuse. (correct)

What are the two shorter sides of a right triangle called?

<p>Legs</p> Signup and view all the answers

How many different methods have been used to prove the Pythagorean theorem?

<p>Many</p> Signup and view all the answers

Study Notes

Pythagorean Theorem

The equation that represents the Pythagorean theorem is: a² + b² = c², where a and b are the lengths of the two shorter sides (legs) and c is the length of the hypotenuse (the side opposite the right angle).
The theorem is named after the ancient Greek philosopher and mathematician Pythagoras.
According to the Pythagorean theorem, the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of its two shorter sides.
The two shorter sides of a right triangle are called legs.
There are over 300 different methods that have been used to prove the Pythagorean theorem.

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Description

Test your knowledge of the Pythagorean theorem and its application in right triangles. Explore the fundamental relation between the sides of a right triangle and discover the geometric concept behind this famous theorem.