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Draw a square, side length a. INSIDE the square, on each side of the square, draw a right-angled triangle, all 4 being exactly the same shape. That will leave you with a small square in the middle, side length b. Give name letters c and d to the remaining short and long sides of the triangles. Now use the fact that the total area of the 4 triangles plus the area of the little square add up to the area of the big square, and secondly that d=c+b, and you will discover Pythagoras' result.
Another way is to draw a right-angled triangle and then draw a line from the right-angle-corner perpendicular to the opposite side (the hypotenuse). You now have 3 triangles of identical shape. Therefore the ratios of the corresponding sides in each triangle are equal. From this you can also prove the Pythagoras theorem.
What else can I help you with?
What theorem on triangles did Pythagoras find?
He didn't find any theorem !!! However, the mathematical eq'n bearing his name was known to earlier civilisation , such as the Egyptians, and the Sumerians. However, he introduced and published his eq;n into the western civilisation. The eq'n is ;- h^(2) = a^(2) + b^(2) That is the hypotenuse squared is equal to the sum of the other two sides squared. It only refers to right angled triangles.
What are the illustrations of the Pythagoras theorem?
To know about Pythagoras theorem in detail
What are the aspects of Pythagoras theorem?
There are 19 various aspects of Pythagoras theorem. Pythagorean Theorem (1) Pythagoras Theorem(2) Pythagorean Theorem (3) Pythagorean Theorem (4) Pythagoras Theorem(5) Pythagorean Theorem(6) Pythagrean Theorem(7) Pythagoras Theorem(8) Pythagorean Theorem (9) Hyppocrates' lunar Minimum Distance Shortest Distance Quadrangular Pyramid (1) Quadrangular Pyramid (2) Origami Two Poles Pythagoras Tree(1) Pythagoras Tree(2) Theorem by Pappus
How do you show square root of 3 on number line without using Pythagoras theorem?
I would show it at location 1.732 , even if I was allowed to use Pythagoras.
What shape does Pythagoras's theorem use?
Pythagoras' theorem is applicable to right angle triangles
What was Pythagoras' major contrubtiuon?
~The Pythagoras theorem
Which is the hypotenuse-angle theorem?
I have never heard of it referred to as the hypotenuse-angle theorem . It is usually named the Pythagorean Theorem. In word the theorem is ' The hypotenuse squared is equal to the sume of the other two sides squared. Algebraically written as h^(2) = a^(1) + b^(2)
What is the function of-the Pythagoras Theorem?
To find the length of the third side of a right-angled triangle.
What was invented by pythogoras?
Pythagoras invented the Pythagoras Theorem.
What is Pythagoras best remembered for besides the Pythagoras theorem?
the
Unusual facts about Pythagoras?
Pythagoras is widely remembered for his theorem, which gave us lots of information about triangles that can be widely used in real life and geometry.
What does baudhayan theorem relate to?
it relates to pythagoras theorem.
