Pythagorean Approximation
- Pythagorean Approximation
"Sum of one Half of the longer side and seven eight of the shorter side give the hypotenuse". ஒடிய நீளன்தனை ஒரெட்டு கூரக்கி கூரதில் ஒன்டை தள்ளி குன்ட்ரதின் பதியை சேர்தல் நீடிய கருனம் தனே.This is linear calculation with out square root operation. For many architectural operation this can be done using ropes - with out having to work with numbers.
The % error for most triangles that are not having angles close to 0/90 degree and 45 degree is very low. Due to the low error rate and the ease of use, this was used in many ancient engineering projects.
Examples:
This short cut is known with in Tamil department prior to 1980 at Sainik School, Amaravathinagar as a Tamil Poem (Sutra).
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