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In this video, I explained "How to prove Pythagoras theorem" with the help of activity.To prove this we used paper cutting and pasting method.This activity c...
A “Cut and Paste” Geometric Proof of the Pythagorean Theorem. Draw a right triangle (shown in orange above) with squares on its sides, shown in white, green and blue above. We are going to show that the green and blue squares on the triangle’s two legs can be cut up and fit into the white square on the triangle’s hypotenuse.
The 12th century Indian mathematician Bhaskara developed an elegant visual proof of the Pythagorean Theorem. Bhaskara uses a square and four congruent right triangles, rearranged in two ways, to prove this theorem.
In the figure, the triangles whose are areas are marked x and y are similar to the original triangle (which has area x+y). So accepting that areas of similar right-angled triangles are proportional to the squares of the hypotenuse, x:y:x+y are in ratio a 2:b 2:c 2, which is Pythagoras's theorem.
The 12th century Indian mathematician Bhaskara developed an elegant visual proof of the Pythagorean Theorem. Bhaskara uses a square and four congruent right triangles, rearranged in two ways, to prove this theorem.
The Pythagorean theorem describes a special relationship between the sides of a right triangle. Even the ancients knew of this relationship. In this topic, we’ll figure out how to use the Pythagorean theorem and prove why it works.
Pythagorean Theorem - How to use the Pythagorean Theorem, Converse of the Pythagorean Theorem, Worksheets, Proofs of the Pythagorean Theorem using Similar Triangles, Algebra, Rearrangement, How to use the Pythagorean Theorem to solve real-world problems, in video lessons with examples and step-by-step solutions.
