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pythagoras' theorum 

See pythagoras.


Pythagors' theorum allows one to calculate the lenght of the "opposite" side (That is, opposite to the right angle) in a right-angled triangle By knowing only the lengths of the other two sides. It can also be mixed with the sine and cosine rules, trigonometry and such to calculate every angle and side length in pretty much any structure. Practical uses involve the measurement of buildings and such.

The method:


•Use the same unit of measurement for all sides.
•Sqaure the lengths of the two shorter sides
Add the sqaures of the numbers toghether
•Find the sqaure root of that number
•Your answer is the length of the longest side.
|\
A| \C
|__\
. B


Side A is 5cm, side B is 4cm and side C is unknown.

A- 5x5= 25 square cm
B- 4x4= 16 square cm

25+16= 36

Square root of 36= 6.

Side C is 6cm.


Of course, this can also be worked backwards to find the length of the smaller sides, provided there are at least two sides given.

If you try to practically apply this with any lengths other than those given, you will end up with decimals. The above example is the only one that does not end in decimal places.
Words you can keep

pythagoras' threorum 

The only thing that you'll remember after four years of high school math.
What is pythagoras' threorum? a^2+b^2=c^2?
pythagoras' threorum by Kockeue838 November 19, 2016

pythagoras theorem 

Using Pythagoras Theorem, the third side of a right-angled triangle can be calculated when two sides are given.

Suppose A = length of hypotenuse and
B & C = lengths of the sides containing the right angle

Then (A^2) = (B^2)+(C^2)

Proof:

If a = angle opposite side A ( =90 degrees)

b = angle opposite side B

c = angle opposite side C

then B = A sin a and C = A cos a

Squaring and adding,we get the result.
Pythagorean triplets:

3,4,5

5,12,13

8,15,17

pythagoras theorem 

Simply put, in a triangle, the square of the hypoteneuse is equal to the sum of the squares of the other two sides. Simple as that.
the pythagorean theorem, in a simple mathematical formula, is: a² = b² + c²

where a is the hypoteneuse and b & c are the other two sides

pythagoras theorem
pythagoras theorem by DannoMack April 27, 2006

pythagoras theorem 

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Pythagoras' Theorem 

An often used and renowned theorem by Pythagoras in the field of geometry and mathematics. It states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side of the triangle and also the side opposite the right angle) is equal to the sum of the squares of the other two sides.

It is commonly written as a^2+b^2=c^2, where c denotes the length of the hypotenuse, and a and b denote the lengths of the other two sides.
Pythagoras' Theorem is often used to calculate the length of any one side of a right-angled triangle when given the lengths of the other two sides.
Pythagoras' Theorem by UserOfNework December 19, 2022

Pythagorean Theorem 

The only geometric theorem that will be used in the real world, primarily by tall people figuring out the best way to sleep in short people beds and TV manufacturers trying to find the largest possible number to put on the box.
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