Pythagorean theorem

Mathematics me Pythagorean theorem, ek right triangle ke sides ke baare me ek statement hae. Triangle ke right angle ke aage waala side ke hypotenuse bola jaae hae. Pythagorean theorem batae hae ki hypotenuse pe jon square hae use area dui aur side ke square ke baraabar hae.

Agar ek right triangle ke hypotenuse "c" hae, aur dui aur side "a" aur "b" hae, tab, ${\displaystyle a^{2}+b^{2}=c^{2}}$.

Ii theorem ke chaar rakam se sahi dekhaawa jaae sake hae:

1. Algebraic proof
2. Geometric proof
3. Vectors ke kaam me laae ke proof
4. Mass aur velocity ke kaam me laae ke proof

Pythagorean triples

Tiin whole number jon equation ${\displaystyle a^{2}+b^{2}=c^{2}}$ me fit hoe hae ke Pythagorean triples bola jaae hae, jaise ki 3, 4 aur, kaaheki ${\displaystyle 3^{2}+4^{2}=5^{2}}$. Iske multiple bhi pythagorean tripe hae, jaise ki 3, 4 aur 5 ke dugna kare se 6, 8 aur 10 mile hae aur ${\displaystyle 6^{2}+8^{2}=10^{2}}$ Dui aur Pythagorean triple hae:

• (5, 12, 13) kaaheki ${\displaystyle 5^{2}+12^{2}=13^{2}}$
• (7, 24, 25) kaaheki ${\displaystyle 7^{2}+24^{2}=25^{2}}$