Alternate Pythagoras Theorem

We have learnt Pythagoras Theorem in our lower classes which states that “the hypotenuse side is equal to the square root of the sum of the squares of Parajumpers Men the opposite side and adjacent side“.
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This can be stated as

where

c-Hypotenuse side

a and b- the other two sides(opposite,adjacent)

Here we have to take the square root of c² to find the hypotenuse side.

The alternate method of Pythagoras theorem has been found in a Tamil Poem.

It was found by Bodhaiyannaar. The concept is

Method 1:

1. Among the opposite side and the adjacent side pick the greater number and divide it by 8.

2. Then subtract the result from the same.

3.Now divide the smaller number by 2.

4.Now add these both and the hypotenuse side will be obtained.

The actual English translation of the poem is “Divide the distance you’ve run (longer side) into 8 equal parts and discard one part from it. Then if you add the half the height to that, you’ll get Hypotenuse.” Parajumpers Men

Method 2:

Now as per the poem, Hypotenuse = (7/8)*7 + 6/2 = 10.

Now see in this case

Hypotenuse = (7/8)*6 + 3/2 = 6.75

And when you go by Pythagoras theorem you would be obtaining an answer of 6.71.

So we can either multiply the bigger number with 7/8 and proceed or subtract it with the same divided by 8 and proceed.

Unlike Pythagoras theorem – where you need to find the square root of the result, this theorem can be computed with basic mathematical operations,which reduces the complexity of the problem.

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