Mhesabu wa Pythagorea
Utaondoa pembetatu inayofaa: tafuta hypotense au mguu unaopotea.
Matokeo yanakuwa bora zaidi unapochapa.
Kuhusu kifaa hiki cha kupigia hesabu
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.
Maswali yaliyoulizwa mara nyingi
Pithagorea ni nini?
For a right triangle, a² + b² = c², where c is the hypotenuse. A 3-4 right triangle has hypotenuse √(9 + 16) = 5.
Unaweza kupataje mguu unaopotea?
Mguu unapaswa kuwa mfupi kuliko hypotense, kwa hiyo thamani ya hypotense ndiyo kubwa zaidi.
Kifaa hicho kinaonyesha thamani gani za ziada?
Mbali na upande ambao haujapatikana, inaripoti eneo la pembetatu (chini ya mwele 1862), eneo lake, na pembe zake mbili zenye nguvu.
Pembe hizo ndogo hupatikanaje?
Kwa kutumia pembe mbili zenye ncha kali, sikuzote pembe hizo mbili nzito huongezeka kufikia 90toka kwenye duara ya miguu hiyo miwili.
Pythagorea ni nini?
Pande za nambari nzima - nzima zinazotosheleza gloi2 + b2 = k2, kama 3-4-5 au 5-12-13. Zafanyiza pembetatu hususa zilizo sahihi bila kuzunguka.
Kwa nini ni lazima hypotense iwe ndiyo upande mrefu zaidi?
Unapotatua kwa mguu, unaingia kwa kasi ya sehemu unayotumia kupita mguu au kifaa unachotumia kukiita.
API bustanini hutumia kifaa hiki cha hesabu kutoka kwenye mfumo wa sheria
Ipigie simu kifaa hiki cha kupigia hesabu kama Junse É not doot toder. Chochote unachoacha kinatumia kiwango kilekile cha mwisho ambacho ukurasa huu haujakamilika; parameta isiyojulikana ni 400, si sufuri kimya kamwe. Soma habari kamili za API docs →
keyboard label
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);
Matokeo ni makadirio ya mwongozo wa ujumla, si wa kifedha, wa kitiba au wa kodi tu.