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A cikin wannan labarin, za mu yi la'akari da ma'anar da kaddarorin ma'aunin triangle (na yau da kullum). Za mu kuma yi nazarin misali na warware matsala don ƙarfafa ka'idar.
Ma'anar madaidaicin triangle
Daidaitawa (ko daidai) ana kiransa triangle wanda kowane bangare ke da tsayi iri ɗaya. Wadancan. AB = BC = AC.
lura: Maɗaukakin polygon na yau da kullun shine polygon mai madaidaici tare da daidaikun gefuna da kusurwoyi a tsakanin su.
Halayen madaidaicin alwatika
Kadarori 1
A cikin madaidaicin alwatika, duk kusurwoyi 60° ne. Wadancan. α = β = γ = 60°.
Kadarori 2
A cikin madaidaicin alwatika, tsayin da aka zana zuwa kowane gefe shine duka bisector na kusurwar da aka zana shi, da kuma tsaka-tsaki da madaidaicin bisector.
CD - tsaka-tsaki, tsayi da bisector perpendicular zuwa gefe AB, da kuma angle bisector Rahoton da aka ƙayyade na ACB.
- CD perpendicular AB => ∠ADC = ∠BDC = 90°
- AD = DB
- ∠ACD = ∠DCB = 30°
Kadarori 3
A cikin madaidaicin alwatika, bisectors, medians, highs and perpendicular bisectors da aka zana zuwa kowane bangare suna haɗuwa a wuri ɗaya.
Kadarori 4
Cibiyoyin da'irar da aka rubuta da da'irori a kusa da madaidaicin alwatika sun zo daidai kuma suna tsaka-tsaki na tsaka-tsaki, tsayi, bisector da bisector na tsaye.
Kadarori 5
Radius na da'irar da'irar kusa da madaidaicin alwatika ya ninka radius sau 2 na da'irar da aka rubuta.
- R shine radius na da'irar da aka kewaye;
- r shine radius na da'irar da aka rubuta;
- R = 2r.
Kadarori 6
A cikin madaidaicin alwatika, sanin tsawon gefen (za mu ɗauka da shi a matsayin sharadi). "zuwa"), za mu iya lissafta:
1. Tsayi/matsakaici/bisector:
2. Radius na da'irar da aka rubuta:
3. Radius na da'irar da aka kewaye:
4. Wuri:
5. Yanki:
Misalin matsala
An ba da triangle daidai, wanda gefensa shine 7 cm. Nemo radius na da'irar da aka rubuta da da'irar, da kuma tsayin adadi.
Magani
Muna amfani da dabarun da aka bayar a sama don nemo adadin da ba a san su ba:
