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.
Faka amaxabiso amathathu ukuxazulula.
Malunga nale khadi
A triangle calculator solves a triangle from the values you know (three sides, two sides and an angle, or two angles and a side) using the law of sines and law of cosines. It returns every missing side and angle plus the area and perimeter. Enter the values you have and leave the rest blank.
You need any three values that include at least one side. From that it picks the right theorem: the law of cosines recovers an angle from three sides or a third side from two sides and their included angle, while the law of sines pairs a known side with its opposite angle to find the rest. Because a triangle’s angles always sum to 180°, once two angles are known the third follows immediately. It then reports the perimeter and the area.
For a worked example, entering the three sides 3, 4 and 5 identifies a right triangle: the angle opposite the longest side is exactly 90°, the other two are about 36.87° and 53.13°, the perimeter is 12 and the area is ½·3·4 = 6. Give it two sides and the included angle instead — say 5, 7 and 40° — and it uses the law of cosines to find the third side. It is used in geometry and trigonometry homework, surveying, construction layout and any job that needs the missing measurements of a triangle.
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.
Izibalo ziyisilinganiso esisetshenziswa ukuqondisa kuphela, hhayi ukucebisa ngezimali, ukwelashwa noma ukukhokha.