Pythagoras (of Samos, born about 569-82 BC - died about 507 BC) was a Greek philosopher who made important developments in mathematics, astronomy, and the theory of music. The theorem now known as Pythagoras's theorem was known to the Babylonians 1000 years earlier but he may have been the first to prove it.
In any right triangle, the area of the square whose side is the hypotenuse (the long side of a right triangle opposite the right angle) is equal to the sum of areas of the squares whose sides are the two legs (i.e. the two sides other than the hypotenuse, the adjacent and opposite in sine, cosine and tangent workings).
If we let c be the length of the hypotenuse and a and b be the lengths of the other two sides, the theorem can be expressed as the equation
This equation provides a simple relation among the three sides of a right triangle so that if the lengths of any two sides are known, the length of the third side can be found.
I was taught this in a long jumpo sand pit, with 25 billard balls.
my old teacher, Mr Chadwick, made a line of 5 balls, and this was the hypotenuse. he then drew in the rest of the triangle. he squared the 5 balls, by making a square of 5 by 5 balls, (25 in all).
then he put balls on the other lines. three fitted onto the short side, and four onto the next side. he then squared the two other sides. 3 x3 and 4 x 4 (9 and 16, when added together = 25.
he showed me that 27 years ago, It was amazing, and the reason I am now a teacher.
2006-11-18 06:22:50
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answer #1
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answered by DAVID C 6
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I suppose you mean 'Pythagoras'. He stated a theorem for right angled triangles. The theorem has more than 100 proofs. The theorem is:
"The square of the hypotenuse is equal to the sum of the squares of the other two sides."
The hypotenuse is the side of a right-angled triangle that is opposite to the perpendicular from the base.
To put it in simple algebraic notation:
Let the base be 'a', the perpendicular 'b' and the hypotenuse 'c'. Then,
(a*a) + (b*b) = c*c
That is,
a^2 + b^2 = c^2
2006-11-18 13:32:26
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answer #2
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answered by Akilesh - Internet Undertaker 7
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hope you mean pythagoras
a squared + b squared = c squared
make sure the side c is the longest side. i.e. opposite the right angle.
e.g
triangle with sides of 3, 4, 5
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
9+16=25
rearrange the formula if needed and just square and add (or subtract if formula is rearranged, ) make sure you square root the answer.
2006-11-18 06:08:10
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answer #3
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answered by Anonymous
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In a right triangle, the side opposite the right (90°) angle is called the hypotenuse.
let c= the hypotenuse & call the other 2 sides a & b.
The Pythagorean Theorem say that
c^2=a^2+b^2
2006-11-18 06:44:22
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answer #4
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answered by yupchagee 7
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Piethagarus theorem
For a Triangle
Hypotenuse Square in the sum of squares of base and altitude
2006-11-18 06:32:09
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answer #5
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answered by george t 2
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pythagoras
for any right angle triangle ABC
the sum of the squares of the two orthogonal
sides are equal to the square of the
largest side
if AC is the largest side,
AC^2=AB^2+BC^2
i hope that this helps
2006-11-18 07:55:47
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answer #6
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answered by Anonymous
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it's pythagoras formula. It goes AxA + BxB = HxH You square the two shorter sides inorder to find the longest side which is the hypotoneuse and then you square root it to find the actual length
2006-11-18 06:08:10
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answer #7
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answered by naughty boy 1
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since e, the base of all natural logathms equals approx 2,718, the pie equals the product of pie and e, thus concluding that 8.53 is approx..delicious
2006-11-18 06:15:08
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answer #8
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answered by Anonymous
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pythagoras &formula
2006-11-18 07:01:38
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answer #9
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answered by golden girl 1
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