English

# Alternate Pythagoras Theorem Calculator

Bothaiyanaar is a Tamil poet who gives an alternate method of Pythagorean theorem through his Tamil poems.
Mathematically, Alternate Pythagoras Theorem calculator follow these rules to calculate the hypotenuse side of a right-angled triangle.
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 to get the hypotenuse side.

## Bothaiyanaar Alternative To Pythagorean Theorem

Bothaiyanaar is a Tamil poet who gives an alternate method of Pythagorean theorem through his Tamil poems.
Mathematically, Alternate Pythagoras Theorem calculator follow these rules to calculate the hypotenuse side of a right-angled triangle.
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 to get the hypotenuse side.

#### Formula:

c = (7b / 8) + (a / 2) a = 2 (c - 7b / 8) b = ( 8 ( c - ( a / 2 ) ) ) / 7 Where, c = Hypotenuse side a = Adjacent Side b = Opposite Side

#### Example

A right triangle has adjacent side as 8 cm and opposite side as 12 cm. Find the hypotenuse side of a right-angled triangle using Bothaiyanaar Alternative To Pythagorean Theorem Hypotenuse Side = (7 x 12)/8 + (a / 2))
= 14.5 cm

Bothaiyanaar described alternate Pythagoras theorem through his Tamil poem which is explained as 'Divide the distance you have run (longer side) into 8 equal parts and discard one part from it. Then if you add half the height to that, you will get Hypotenuse.'