The Pythagorean Theorem is a game of square numbers

The Pythagorean Theorem is a game of square numbers

Can a square number be the sum of two square numbers? Take this question if you want it to be a math puzzle. Or take it as a math game if you will.

See if a square number can be said to be the addition of two square numbers just as a number can be said to be the sum of two numbers.

For example, you can say 5 as the addition of two numbers as 2+3. Similarly, see if you can add square numbers like 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, … by addition of two square numbers. Although not all square numbers can be said like that, some square numbers can be said like that.

For example see how 25 can be expressed as 9+16. That means 5² = 3² + 4² or not.

This is what Pythagoras states as a theorem in his name. If the geometrical interpretation of the above square number is the sum of two square numbers, you would draw a right triangle for it.

The base is 4 cm. Height 3 cm. Draw a right triangle of Let me reiterate that you must draw a right triangle. Because this property applies only to right triangles. Neither a acute angled triangle nor an obtuse triangle will fit. Now you draw the hypotenuse of a right angled triangle to be 5 cm. will be measured.

Now see the square of the hypotenuse is equal to the sum of the squares of the other two sides!

This is the Pythagorean Theorem.

Thus the square of the hypotenuse is equal to the sum of the squares of the other two sides, no matter how large you draw the right triangle.

For example the base is 8 cm. The height is 6 cm. If we draw a right angled triangle whose hypotenus is 10 cm. It will be like that. Accordingly, you can also find that 10² = 8² + 6². So 100 = 64 +36.

See how we start studying square numbers and end up at the Pythagorean theorem of geometry?

This is how math topics are related to each other. Because all math topics aim to find a number as the answer at the end. It does so in various ways. There are many methods such as Arithmetic method, Algebra method, Geometric method, Applied mathematics method, Information processing method. The aim of all methods is to find a number as the answer at the end.

Now you can see a special feature like what you saw in the cube numbers. Think about what it is. see you tomorrow.

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