I-Calculator ye-Triangle

Kuxazululwe noma yisiphi isithathu kusuka ezinyaweni nakuma-angles - indawo, umkhawulo kanye nama-values angekho.

Ngeza noma yiziphi izimali eziyi-3 (ingxenye eyodwa noma ngaphezulu). Izingxenye a, b, c ziyi-angles eziphikisanayo A, B, C.

°
°
°
Indawo
I-perimeter
Amafasitela a, b, c
Ama-angles A, B, C
Uhlobo

Faka amaxabiso amathathu ukuxazulula.

Malunga nale khadi

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Imibuzo ebuzwa kaningi

Yini okufanele ngiyazi ukuze ngixazulule i-triangle?

Nanoma yiziphi izindleko ezintathu ezifaka ikhasi elilodwa: amakhasi amathathu (SSS), amakhasi amabili ne-angle efakwe (SAS), ama-angles amabili nekhasi (ASA/AAS), noma amakhasi amabili ne-angle engafakwanga (SSA).

Indlela ekhokhwa ngayo indawo?

Kusuka ezinhlangothini ezintathu isebenzisa ifomula kaHeron; ngezinhlangothi ezimbili ne-angle efakwe isebenzisa ½·a·b·sin(C). Zonke zinikeza imiphumela efanayo ye-triangle esebenzayo.

Ngizoxazulula kanjani i-3-4-5 triangle?

Ngeza amaphesenti amathathu njenge-3, 4 ne-5 bese ushiya ama-angles amnyama. I-calculator iqinisekisile ukuthi iyi-triangle eqondile ene-angle engu-90° ephikisana nengxenye ye-length 5, ama-angles angaphezu kuka-36.87° ne-53.13°, indawo engu-6 ne-perimeter engu-12.

Yini ushintsho phakathi komthetho we-sines nomthetho we-cosines?

Umthetho we-cosines uxhuma zonke izinhlangothi ezintathu ku-angle eyodwa, ngakho kusetshenziswa uma ungazi izinhlangothi ezintathu noma izinhlangothi ezimbili ne-angle efakwe. Umthetho we-sines uxhuma inhlangothi ku-angle ephikisana nayo futhi kusetshenziswa uma unengxenye elinganayo ye-angle.

Kungani i-SSA ngamanye amaxesha inikeza ama-triangles amabili akhona?

Ngezingxenye ezimbili ne-angle engafakiwe (isibonelo esicacile), ingxenye enikezwe ingafinyelela isizinda ezingeni ezimbili ezahlukene, ngakho-ke ama-triangles amabili afanele angafaka idatha efanayo. I-calculator ikhombisa lokhu uma kwenzeka.

Ingaba ingamitshela uma amaxabiso ami angeke ahlanganise isithathu esifanele?

Yebo. Uma amapheya ephula ukungalingani kwe-triangle (ipheya elinye lide kunamanye amaphiko amabili axhunywe) noma ama-angles angaba yi-180°, i-calculator ikhombisa ukuthi akukho lutho olunjalo olufana ne-triangle endaweni yokubuyisela imiphumela.

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