Zamkatimu
M'nkhaniyi, tiona tanthauzo ndi katundu wa equilateral (nthawi zonse) makona atatu. Tisanthulanso chitsanzo cha kuthetsa vuto kuti tiphatikize mfundo zanthanthi.
Tanthauzo la makona atatu ofanana
Zofanana (kapena zolondola) amatchedwa makona atatu omwe mbali zonse zimakhala ndi utali wofanana. Iwo. AB = BC = AC.
Zindikirani: Pulagoni wokhazikika ndi poligoni wotambasuka wokhala ndi mbali zofanana ndi ngodya pakati pawo.
Makhalidwe a equilateral triangle
Katundu 1
Mu makona atatu ofanana, ngodya zonse ndi 60 °. Iwo. α = β = γ = 60°.
Katundu 2
Mu makona atatu ofanana, utali womwe umakokedwa mbali zonse ziwiri ndi bisector ya ngodya yomwe imakokerako, komanso mbali yapakati ndi perpendicular bisector.
CD - wapakati, kutalika ndi perpendicular bisector kumbali AB, komanso angle bisector ACB.
- CD wokhazikika AB => ∠ADC = ∠BDC = 90°
- AD = DB
- ∠ACD = ∠DCB = 30°
Katundu 3
Mu makona atatu ofanana, ma bisectors, medians, kutalika ndi perpendicular bisectors zokokedwa mbali zonse zimadutsana pa mfundo imodzi.
Katundu 4
Pakatikati mwa mabwalo olembedwa ndi ozungulira kuzungulira katatu kofanana amalumikizana ndipo ali pamzere wa medians, kutalika, ma bisectors ndi perpendicular bisectors.
Katundu 5
Utali wozungulira wa bwalo lozungulira mozungulira makona atatu ofanana ndi nthawi 2 utali wa bwalo lolembedwa.
- R ndi utali wozungulira wa bwalo lozungulira;
- r ndi utali wozungulira wa bwalo lolembedwa;
- R = 2 ndi.
Katundu 6
Mu makona atatu ofanana, podziwa kutalika kwa mbali (ife titenga ngati "ku"), tikhoza kuwerengera:
1. Utali/wapakati/sekitala:
2. Radius wa bwalo lolembedwa:
3. Radius ya bwalo lozungulira:
4. Perimeter:
5. Dera:
Chitsanzo cha vuto
Makona atatu ofanana amaperekedwa, mbali yake ndi 7 cm. Pezani radius ya bwalo lozungulira ndi lolembedwa, komanso kutalika kwa chiwerengerocho.
Anakonza
Timagwiritsa ntchito njira zomwe zaperekedwa pamwambapa kuti tipeze kuchuluka kosadziwika: