Kalkaaliyihii

Xalka saddex geesoodka ah oo dhinacyada iyo geesaha - dhul, perimeter iyo qiimaha ka maqan.

Ku dar 3 qiimaha (ugu yaraan dhinac). dhinacyada a, b, c waa geesaha ka soo horjeeda A, B, C.

°
°
°
Gobol—
Xeebta—
Midig a, b, c—
Midig A, B, C—
Nooc—

Dhammaystir saddex qiimo si aad u xalliso.

Ku saabsan Kalkaaliyahan

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.

Su'aalaha badanaa la isweydiiyo

Maxaa aan u baahanahay inaan ogaado si aan u xalliyo saddex geesoodka?

Mid kasta oo saddex qiimo oo ay ku jiraan ugu yaraan dhinac: saddex dhinac (SSS), laba dhinac iyo geeska ku jira (SAS), laba gees iyo dhinac (ASA / AAS), ama laba dhinac iyo geeska aan la ku jirin (SSA).

Sidee waa dhul la xisaabiyey?

Ka saddex dhinacyo ah, waxay isticmaalaan formula Heron; la laba dhinac iyo geeska ku jira waxay isticmaalaan ½ · a · b · sin (C). Labaduba bixiyaan natiijooyinka la mid ah ee saddex geesoodka waafaqsan.

Sidee baan u xalin karaa 3-4-5 saddex geesoodka ah?

Ku dar saddexda dhinac sida 3, 4 iyo 5 iyo ka tag geesaha aan la buuxin. Kalkulatorku wuxuu xaqiijinayaa in ay tahay saddex geesoodka midig leh 90 ° geeska ka soo horjeedka dhinac ee dhererka 5, geesaha ee ku saabsan 36.87 ° iyo 53.13 °, dhul 6 iyo perimeter 12.

Maxaa ka duwan yahay u dhexeeya sharciga sines iyo sharciga cosines?

Sharciga cosine xiriirinta saddexda dhinac oo dhan in geeska mid ah, sidaas darteed waxaa loo isticmaalaa marka aad ogaato saddex geesood ama laba geesood iyo geeska ku jira. Sharciga sines xiriirinta dhinac si ay geeska ka soo horjeeda iyo waxaa loo isticmaalaa marka aad leedahay laba geesood oo dhinac-galbeed.

Maxaa SSA marar badan siiyaan laba saddex geesood ah oo suurtogal ah?

La laba dhinac iyo geeska aan la mid ah (case aan la garanayn), dhinacyada la siiyay waxaa laga yaabaa in ay gaadho salka laba dhibcood oo kala duwan, si laba saddex geesoodka waafaqsan waa in ay ku habboon yihiin xogta isku mid ah.

Ma wuxuu ii sheegi kartaa haddii qiimahayda ma aha qaab saddex geesood ah oo sax ah?

Haa. Haddii dhinacyada burburin saddex geesoodka isdhexgalka (mid dhinac ka dheer ka badan labada kale ee isku dhafan) ama angles ma awoodaan in ay ku darto 180 °, xisaabinta warbixinnada in aan saddex geesoodka sidaa ah ma jiro ka dibna ka soo laabtay natiijo.

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