Mpikirakira ny teorema Pythagorean
Mamaha triangle mitsangana: mahita ny hypotenuse na ny tongotra tsy hita.
Manova ny valin'ny fanoratanao.
Momba ity kapila ity
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.
Fanontaniana matetika
Inona no atao hoe teorema Pythagoreana?
Ho an'ny triangle mitsangana, a² + b² = c², izay c no hypotenuse. Ny triangle mitsangana 3-4 dia manana hypotenuse √(9 + 16) = 5.
Ahoana no ahafahanao mahita tongotra tsy hita?
Averina apetraka amin'ny a = √(c² − b²). Tsy maintsy fohy noho ny hypotenuse ny tongotra, ka tsy maintsy ny sisiny lehibe indrindra no sanda hypotenuse.
Inona no sanda fanampiny asehon'ity fitaovana ity?
Amin'ny maha-mpikambana azy dia misy ny fikambanana miisa 200 (ny 200 voalohany dia ny Fiangonana Katolika), ny Fiangonana Loterana Malagasy, ny Fiangonana Loterana Iraisam-pirenena ary ny Fiangonana Loterana Iraisam-pirenena.
Ahoana no ahazoana ireo zorony mivadika?
Avy amin'ny arctangent'ny tongotra roa. Amin'ny triangle mitsangana, ny fampitomboana ny zorony roa mivadika dia 90° foana.
Inona no atao hoe Pythagorean triple?
Ny andian-tsisiny feno izay mahafeno ny fepetra a² + b² = c², toy ny 3-4-5 na 5-12-13. Mamorona triangle mitsangana tsy misy fitotoana izy ireo.
Nahoana no tsy maintsy ho ny hypotenuse no sisiny lava indrindra?
Mifanohitra amin'ny zorony mivadika izy io ary ny sisiny lava indrindra foana. Raha vao manamboatra ny tongotra iray ianao, dia tsy maintsy mihoatra ny tongotra fantatra ny hypotenuse na dia tsy izany aza dia asehony ny fitaovana.
API — mampiasa io milina fanisana io avy amin'ny rindran'asa
Antsoy ho toy ny farany JSON malalaka ity milina fanisana ity - tsy mila famaha. Mandefa ireo sanda eo amin'ny sehatr'asa etsy ambany ho toy ny mpizaratry ny fanontaniana na JSON. Ny zavatra tsy voalaza dia mampiasa ny sanda tsotra efa nameno ity pejy ity; 400 ny sanda tsy fantatra, tsy aotra tsy misy feo. Vakio ny tahirin-kevitra API feno →
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);Ny voka-pikarohana dia natao ho an'ny torohevitra ankapobeny ihany, tsy torohevitra ara-bola, ara-pitsaboana na ara-bola.