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2020-10-08

What does Pythagoras theorem mean?

What does Pythagoras theorem mean?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

Which theorem states that the square of the hypotenuse equals the sum of the squares of the legs?

Pythagorean theorem

What is a leg in the Pythagorean Theorem?

For a right triangle, the side that is opposite of the right angle is called the hypotenuse. This side will always be the longest side of the right triangle. The other two (shorter) sides are called legs.

What are the steps of the Pythagorean Theorem?

Step 1: Draw a right triangle and then read through the problems again to determine the length of the legs and the hypotenuse. Step 2: Use the Pythagorean Theorem (a2 + b2 = c2) to write an equation to be solved. Step 3: Simplify the equation by distributing and combining like terms as needed.

When should Pythagorean theorem be used?

The Pythagorean theorem only works if you know two sides. If you only know one side and the triangle has been drawn accurately to scale, you might be able to get away with using a protractor and a ruler, but that again relies that you have the triangle actually drawn out and that it is to scale.

How can the Pythagorean theorem be proven using squares?

PROOF: This is a geometrical proofs of the Pythagorean Theorem similar triangles. PROOF: “If a triangle is a right triangle, then the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs.”

What is the difference between Gougu Theorem and Pythagoras Theorem?

One proof of the Pythagorean theorem is called the Gougu Proof. It uses four, 3, 4, 5 right triangles. The Illustration on the right is the Pythagorean theorem, which in turn proves the Gougu theorem. The Gougu Theorem has four 3, 4, 5 right triangles which all correspond with the triangles in the proof on the right.

What do the Chinese call the Pythagorean Theorem?

Gou‐Gu Theorem

When was the Pythagorean theorem invented?

1900 B.C.