Pitagorean Theorem Calculator
Kuchotsa triangle waukulu: kupeza hypotenuse kapena kulephera m'mbali.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
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.
Mafunso ofunsidwa nthawi zambiri
Kodi ndi chiyani Pythagorean teorem?
For a right triangle, a² + b² = c², where c is the hypotenuse. A 3-4 right triangle has hypotenuse √(9 + 16) = 5.
Kodi mungapeze bwanji miyendo yosapezeka?
Ikaninso kuti a = √(c² − b²). Mtima uyenera kukhala wofupi kuposa hypotenuse, choncho mfundo ya hypotenuse iyenera kukhala yolimba kwambiri.
Kodi ndalama zowonjezera zimenezi chida kusonyeza?
Pamenepo, m'malo mwake, amagwiritsa ntchito njira yoti awonetsetse kuti mfundo za 2 (2) ndi 3 (3) zimakhalapo, ndipo kuti mfundo za 2 (2) ndi 3 (3) zimakhalapo.
Kodi ndi ziti zosatheka zosatheka?
M'mapiri a 90°, mapiri awiriwa amatenga gawo limodzi la 90° ndipo amatenga gawo lina la 90°.
Kodi ndi chiyani Pythagorean triple?
Mtundu wa zigawo zazikulu zomwe zimakwaniritsa a² + b² = c², monga 3-4-5 kapena 5-12-13. Zimapanga ma triangles oyenera osazungulira.
N'chifukwa chiyani hypotenuse ayenera kukhala mbali yaitali?
It sits opposite the right angle and is always the longest side. When you solve for a leg, the hypotenuse you enter must exceed the known leg or the tool flags it.
API — kugwiritsa ntchito izi calculator kuchokera code
Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Chomweko chilichonse chimene mumasiya chimagwiritsa ntchito mfundo yoyamba yomweyi yomwe tsambali limagwiritsa ntchito; mfundo yosadziwika ndi 400, siyiyenera kukhala zero yosadziwika. Onani zonse API docs →
Chithunzi
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);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.