Pythagorean Theorem Calculator kya hai?

Yeh ek tool hai jo right triangle ka missing side nikalta hai jab aapko dusre do pata hon, a² + b² = c² formula use karke, jahan c hypotenuse hai aur a, b do legs hain.

Pythagorean theorem formula kaise kaam karta hai?

Kisi bhi right triangle mein, hypotenuse ka square dono legs ke squares ke sum ke barabar hota hai: a² + b² = c². Rearrange karne par, ek leg c² minus dusre leg ke square ka square root ke barabar hota hai.

Kya yeh calculator hypotenuse ki jagah ek leg nikal sakta hai?

Haan. 'Leg a' ya 'Leg b' select karein aur hypotenuse plus dusra leg daalein — Pythagorean Theorem Calculator bacha hua leg a = √(c² − b²) ya b = √(c² − a²) use karke solve karta hai.

Calculator kuch hypotenuse values ko reject kyun karta hai?

Right triangle mein hypotenuse hamesha sabse lambi side hoti hai. Agar daali gayi hypotenuse kisi known leg se chhoti ya barabar hai, toh koi real right triangle exist nahi karta, isliye calculator galat result ki jagah error dikhata hai.

Kya yeh un triangles ke liye kaam karta hai jo right triangle nahi hain?

Nahi. Pythagorean theorem sirf right triangles par apply hota hai, jahan ek angle exactly 90° ho. Kisi bhi triangle ke liye, Triangle Calculator ya Law of Cosines use karein.

Kya jo sides main daalta hoon wo kahin upload hoti hain?

Nahi. Pythagorean Theorem Calculator poori tarah aapke browser mein chalta hai. Jo numbers aap type karte hain wo sirf aapke device par use hote hain aur kabhi ArrayKit ya kisi server ko nahi bheje jaate.

Pythagorean Theorem Calculator

Right triangle ke koi bhi do sides daalein aur a² + b² = c² se teesra side pata karein, aapke browser mein turant calculate hokar.

Pythagorean Theorem Calculator poori tarah aapke browser mein chalta hai. Aapke daale gaye sides kabhi aapke device se bahar nahi jaate aur ArrayKit ko kuch upload nahi hota.

Right Triangle Calculator Kholein

Pythagorean Calculator ke baare mein

Pythagorean Theorem Calculator right triangle ka missing side dusre do sides se nikalta hai, a² + b² = c² formula use karke, jahan c hypotenuse hota hai — sabse lambi side, right angle ke saamne wali. Choose karein ki aapko dono legs pata hain aur hypotenuse chahiye, ya aapko hypotenuse aur ek leg pata hai aur dusra leg chahiye, phir dono known lengths daalein. Calculator turant teesri side solve kar deta hai aur teeno sides saath mein dikhata hai taaki aap poora set copy kar sakein. Yeh ek hypotenuse ko reject kar deta hai agar wo known leg se chhoti ya barabar ho, kyunki us combination se real right triangle nahi ban sakta. Yeh geometry homework, construction aur framing measurements, screen ya ladder diagonal checks, aur kisi bhi layout problem ke liye useful hai jahan right angle ki do sides pata hon. Sab kuch locally chalta hai — jo numbers aap type karte hain wo aapke browser mein hi calculate hote hain aur kabhi upload nahi hote.

Features

Do known legs se hypotenuse solve karein, ya hypotenuse aur dusre leg se ek leg solve karein
Exact a² + b² = c² relationship use karta hai, floating-point precision ke alawa koi approximation nahi
Missing side solve hote hi teeno side lengths saath mein dikhata hai
Poora a, b, c result set ek click mein plain text ke roop mein copy karein
Solve karne se pehle check karta hai ki hypotenuse kisi bhi known leg se lambi ho
Missing, negative, ya geometrically impossible inputs ke liye clear error messages
Decimals ke saath kaam karta hai, sirf whole-number triangles nahi
Poori tarah aapke browser mein chalta hai, kuch bhi upload nahi hota

Pythagorean Calculator kaise use karein

Choose karein ki kaunsi side solve karni hai: hypotenuse (c) ya ek leg (a ya b)
Input fields mein dono known side lengths daalein
Result section mein missing side padhein
Copy button se poora a, b, c summary copy karein

Example

Input

a=3, b=4

Output

c = 5

Ek classic 3-4-5 right triangle: 3² + 4² = 5².

Common errors aur troubleshooting

Tool 'The hypotenuse (c) must be longer than the known leg.' dikhata hai. — Right triangle mein hypotenuse hamesha sabse lambi side hoti hai. Check karein ki aapne c field mein hypotenuse hi daali hai aur wo aapki di gayi leg se badi hai.
Leg solve karne par expected se chhota number aata hai. — Jab hypotenuse aur dusre leg se ek leg solve karte hain, formula hai leg = √(c² − dusraLeg²), jo hamesha hypotenuse se chhota hoga — ek valid right triangle mein yehi expected hai.
Result mein bahut saari decimal places aa jaati hain. — Zyadatar side combinations whole-number (Pythagorean-triple) triangle nahi banate, isliye √2 jaisa irrational result lambi decimal ke roop mein dikhta hai. Pythagorean Theorem Calculator display ko 6 decimal places tak round karta hai.
Teeno sides, ya sirf ek side, daalne se kuch nahi hota. — Aapne jo option choose kiya hai uske liye dikhayi gayi exactly do sides hi daalein (jaise, c solve karne ke liye a aur b) — teesra field wo hai jo solve ho raha hai aur usse result ke roop mein chhod dena chahiye.

Aksar pooche jaane wale sawaal

Pythagorean Theorem Calculator kya hai?: Yeh ek tool hai jo right triangle ka missing side nikalta hai jab aapko dusre do pata hon, a² + b² = c² formula use karke, jahan c hypotenuse hai aur a, b do legs hain.
Pythagorean theorem formula kaise kaam karta hai?: Kisi bhi right triangle mein, hypotenuse ka square dono legs ke squares ke sum ke barabar hota hai: a² + b² = c². Rearrange karne par, ek leg c² minus dusre leg ke square ka square root ke barabar hota hai.
Kya yeh calculator hypotenuse ki jagah ek leg nikal sakta hai?: Haan. 'Leg a' ya 'Leg b' select karein aur hypotenuse plus dusra leg daalein — Pythagorean Theorem Calculator bacha hua leg a = √(c² − b²) ya b = √(c² − a²) use karke solve karta hai.
Calculator kuch hypotenuse values ko reject kyun karta hai?: Right triangle mein hypotenuse hamesha sabse lambi side hoti hai. Agar daali gayi hypotenuse kisi known leg se chhoti ya barabar hai, toh koi real right triangle exist nahi karta, isliye calculator galat result ki jagah error dikhata hai.
Kya yeh un triangles ke liye kaam karta hai jo right triangle nahi hain?: Nahi. Pythagorean theorem sirf right triangles par apply hota hai, jahan ek angle exactly 90° ho. Kisi bhi triangle ke liye, Triangle Calculator ya Law of Cosines use karein.
Kya jo sides main daalta hoon wo kahin upload hoti hain?: Nahi. Pythagorean Theorem Calculator poori tarah aapke browser mein chalta hai. Jo numbers aap type karte hain wo sirf aapke device par use hote hain aur kabhi ArrayKit ya kisi server ko nahi bheje jaate.

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