Pithagorean Teorem Kalkülatory
Üçburçluk çöz: hipotens ýa-da eksik bogun tap
Netijeler ýazýan wagtyň täzelener.
Bu hasapçy hakda
The Pythagorean theorem states that in a right triangle a² + b² = c², where c is the hypotenuse — the longest side, opposite the right angle. This calculator solves for the hypotenuse from two legs, or for a missing leg from the hypotenuse and one leg, and also reports the triangle's area, perimeter and two acute angles.
To find the hypotenuse, add the squares of the legs and take the square root: a 3-4 right triangle has hypotenuse √(3² + 4²) = √(9 + 16) = √25 = 5. To find a missing leg, rearrange to a = √(c² − b²); because a leg is always shorter than the hypotenuse, the hypotenuse you enter must be the largest side, or the tool flags it. The acute angles come from the arctangent of the legs and always add up to 90°.
This is the workhorse of right-triangle geometry: finding diagonals, checking that a corner is square in construction, computing distances, and deriving the coordinate distance formula. Whole-number side sets like 3-4-5 and 5-12-13 are called Pythagorean triples.
Köp soralýan soraglar
Pitagora teoremi näme?
Bir çep üçburç üçin, a² + b² = c², c gipotenüz. A 3-4 right triangle has a hipotenüz √(9 + 16) = 5.
Nädip gaçýan aýagy tapýaň?
a = √(c² − b²) üçin täzeden düzelt. Aýagy hipotenuzdan gysga bolmaly, şonuň üçin hipotenuz mykdary iň uly tarap bolmaly.
Bu esbap näçe eklenç mykadry görkezýär?
Eksik tarapdan başga, üçburçluk meýdanyny (½ × leg × leg), onuň perimetrini we iki çuň burçlaryny görkezýär.
Agyr burçlar nädip tapylýar?
Iki aýagyň arktangensinden. Bir üçburçlukda iki agyr burç her wagt 90° goşýar.
Pithagorean üçlügi näme?
Bir tam sanlar seti a² + b² = c², 3-4-5 ýa 5-12-13 ýaly. Olar dogry üçburçluklary düzýärler.
Näme üçin gipotenuza iň uzak tarap bolmaly?
Bu düz burçyň tersine duryar we her wagt iň uzak tarapdyr. Bir bölek üçin çözmek üçin, girýän hipotens belli bir bölekden has köp bolmaly ýa-da esbap ony baglançlaýar.
API — bu hasapçyny koddan ullan
Bu hasapçyny boş JSON ahtar noktasy hökmünde çagyr - açar gerek däl. Aşakdaky meýdança mykdarlaryny soragyň parametrleri ýa-da JSON hökmünde iber. Siziň goýmaýan hernäňiz şu sahypanyň öň bellenen öň bellenenini ulanýar; namydar parametr 400, hiç wagt sessiz sıfır däl. Eňlisçe senedleri oka →
Endpoint
GET https://calculator.free/api/v1/pythagorean-theorem/curl
curl "https://calculator.free/api/v1/pythagorean-theorem/?solve=hypotenuse&a=3&b=4"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/pythagorean-theorem/?" + new URLSearchParams({
"solve": "hypotenuse",
"a": "3",
"b": "4"
}));
const data = await r.json();
console.log(data.results);Netijeler diňe umumy ýardam üçin hasaplanypdyr, maliýe, saglyk ýa-da salgyt maslahaty üçin däl.