Kifaa cha Kuhesabu Joto
Utaondoa pembetatu yoyote kutoka pande na pembe za eneo la faida, na mipaka na thamani zinazokosekana.
Enter any 3 values (at least one side). Sides a, b, c are opposite angles A, B, C.
Jaza kanuni tatu za kutatua.
Kuhusu kifaa hiki cha kupigia hesabu
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.
Maswali yaliyoulizwa mara nyingi
Ninahitaji kujua nini ili nisuluhishe pembetatu?
Kanuni zozote tatu zinazotia ndani angalau upande mmoja: pande tatu (SSS), pande mbili na pembe (S), pembe mbili na upande (ASA/ASS), au pande mbili na pembe isiyotiwa alama (SSA).
Eneo hilo huhesabiwaje?
Kutoka pande tatu hutumia fani ya Herontimiza kanuni ya Herontimiza kanuni ya; ikiwa na pande mbili na ile nyingine zikiwa na pembe inayotoshana, zote mbili hutumia pembe 1 /2·a·b·sin Mitume).
How do I solve a 3-4-5 triangle?
Enter the three sides as 3, 4 and 5 and leave the angles blank. The calculator confirms it is a right triangle with a 90° angle opposite the side of length 5, angles of about 36.87° and 53.13°, area 6 and perimeter 12.
Kuna tofauti gani kati ya sheria ya dhambi na sheria ya vikundi viwili?
Sheria ya pande zote tatu huunganisha pande zote tatu na pembe moja, kwa hiyo inatumiwa unapofahamu pande tatu au mbili na pembe iliyoongezwa.
Kwa nini nyakati nyingine shirika la SSA hutoa pembetatu mbili ambazo huenda zikawapo?
Kwa kuwa pande mbili za pembetatu hazina ukubwa wa alama, upande ule mwingine unaweza kufikia sehemu ya chini kwenye pande mbili tofauti, kwa hiyo pembetatu mbili halali zinaweza kutoshea data ileile.
Je, yaweza kuniambia ikiwa thamani zangu hazijeni pembetatu ifaayo?
Yes. If the sides break the triangle inequality (one side longer than the other two combined) or the angles cannot sum to 180°, the calculator reports that no such triangle exists instead of returning a result.
Matokeo ni makadirio ya mwongozo wa ujumla, si wa kifedha, wa kitiba au wa kodi tu.