I-Calculator ye-Triangle
Solve any triangle from sides and angles — area, perimeter and the missing values.
Ngenisa naziphi na ixabiso 3 (okanye naliphi na iphepha elinye). Iphepha a, b, c zii-engile ezichaseneyo A, B, C.
Igama le projekti
Malunga nale Calculator
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 ebuza rhoqo
Yintoni endingayazi ukusombulula i triangle?
Naziphi na ixabiso elithathu eliquka nangaphezulu kwecala elinye: icala elinye (SSS), icala elinye necala eliqukayo (SAS), icala elinye necala (ASA/AAS), okanye icala elinye necala eliqukayo (SSA).
Ibala njani indawo?
Kwiziphelo ezintathu isebenzisa ifomula kaHeron; ngeendawo ezimbini ne-engile equlethe isebenzisa i-½·a·b·sin(C). Zonke zinika i-engile enye ye-triangle esebenzayo.
Ndiyilungisa njani i-3-4-5 triangle?
Ngenisa iincopho ezintathu njenge 3, 4 ne 5 kwaye ushiye i-engile engenanto. I-calculator iqinisekisile ukuba yi-triangle ethe nkqo ene-90° ye-engile echaphazela i-engile ye-5, i-engile malunga ne-36.87° ne-53.13°, indawo 6 kunye ne-perimeter 12.
Yintoni utshintsho phakathi komthetho we-sines kunye nomthetho we-cosines?
Umthetho we-cosines udibanisa zonke iinxalenye ezintathu kwi-engile enye, ngoko ke isetyenziswa xa uyazi iinxalenye ezintathu okanye iinxalenye ezimbini ne-engile equlethwe. Umthetho we-sines udibanisa inxalenye kwi-engile ephikisanayo kwaye isetyenziswa xa unesibini esihambelanayo se-engile yecala.
Kutheni i-SSA inika amaxesha amabini amaqela amabini anokuthi afane?
Ngeempawu ezimbini neekona ezingaqukuqelanga (imeko engaziwayo), iphepha elinikiweyo lingafika kwisiseko kwiincopho ezimbini ezahlukeneyo, ngoko amaqela amabini alinganayo angafakela i data efanayo. I kalkuli ibonisa iflagi xa kwenzeka oku.
Ingaba iyandixelela ukuba amaxabiso am angenzanga umgca ophindwe kabini osebenzayo?
Ewe. Ukuba iincopho ziphula ukungalingani kwesithathu (icala elinye lide kunezinye ezimbini ezidityanisiweyo) okanye iincopho azikwazi ukudibanisa ukuya kwi 180°, i-calculator ixela ukuba akukho sithathu sinjalo sikhona endaweni yokubuyisela impumelelo.
Results are estimates for general guidance only, not financial, medical or tax advice.