Te tātaitai Pythagorean o te tautuhinga
Whakarautaki i tētahi tapawhā tika: ki te kimi i te hipotēnu, i te kōaro rānei e ngaro ana.
Ka whakahōutia ngā hua i te wā e tātuhi ana.
Mo tēnei tātaitai
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.
Ko nga pātai e pā ana
He aha te kupu Pythagorean?
Mō tētahi tapawhā tika, a2 + b2 = c2, kei reira te c te hipotēnuse. He hipotēnuse te tapawhā tika 3–4 √(9 + 16) = 5.
He pēhea e kimi ai e koe i tētahi kōaro kāore anō?
Ka whakahōu anō ki a = √(c² − b²). Me iti ake te kōaro i te hipotēnuse, nō reira me te āhua o te uara hypotenuse te taha nui rawa.
He aha nga uara tāpiri e whakaaturia ana e tēnei utauta?
I tua atu i te taha kāore anō, ka pūrongo i te rohe o te tapawhā (½ × kōaro × kōaro), tōna pereti, me ngā koki tino hōhonu e rua.
He pēhea te kimi i ngā koki tino hōhonu?
Mai i te arcotangent o ngā kōaro e rua, i roto i tētahi tapawhā tika, ka tāpiri tonutia ngā koki tino nui e rua ki te 90°.
He aha te toru o Pythagorean?
Ko tētahi huinga o ngā taha tau tōpū e whakaae ana ki te a2 + b2 = c2, pēnei i te 3-4-5, 5-12-13 rānei. Ka hanga rātou i ngā tapawhā tika me te kore whakaroa.
He aha te take me noho te taha roa o te hipotēnu?
E noho ana i te taha o te koki tika, ā, ko te taha roa rawa. Ina whakaotitia e koe tētahi kōaro, me nui ake te hipotēnuse e tāuru ana e koe i te kōaro e mōhiotia ana, ka tohu rānei te utauta.
API — whakamahi tēnei tātaitai mai i te waehere
E kī ana tēnei tātaitai hei wāhi mutunga kore JSON - kāore he kī e hiahiatia ana. Ka tukuna ngā uara āpure i raro nei hei tohutoro pātai, JSON rānei. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Ka pānui te papatono API katoa →
Whakamutunga
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);Ko ngā hua he whakataunga mō te tohutohu ahuwhānui anake, ehara i te tohutohu moni, rongoā, tāke rānei.