Izici zokuphakama zikanxantathu we-isosceles

Kule ncwadi, sizocubungula izici eziyinhloko zokuphakama kukanxantathu we-isosceles, futhi sihlaziye izibonelo zokuxazulula izinkinga kulesi sihloko.

Qaphela: unxantathu ubizwa amasosles, uma izinhlangothi zayo ezimbili zilingana (lateral). Uhlangothi lwesithathu lubizwa ngokuthi isisekelo.

Okuqukethwe

Izakhiwo ze-altitude kunxantathu we-isosceles

Impahla 1

Kunxantathu we-isosceles, ukuphakama okubili okudwetshelwe emaceleni kuyalingana.

Izici zokuphakama zikanxantathu we-isosceles

AE = CD

Hlehlisa amagama: Uma ama-altitudes amabili elingana kunxantathu, kusho ukuthi i-isosceles.

Impahla 2

Kunxantathu we-isosceles, ukuphakama okwehliselwe esisekelweni ngesikhathi esifanayo kuyi-bisector, i-median, kanye ne-perpendicular bisector.

Izici zokuphakama zikanxantathu we-isosceles

  • BD – ubude budonseleka esisekelweni AC;
  • BD ungumphakathi, kanjalo AD = DC;
  • BD i-engeli, ngakho-ke i-engeli α ilingana ne-engeli β.
  • BD – i-perpendicular bisector eceleni AC.

Impahla 3

Uma izinhlangothi/ama-engeli kanxantathu we-isosceles aziwa, khona-ke:

1. Ubude bobude hakwehliswe esisekelweni a, ibalwa ngefomula:

Izici zokuphakama zikanxantathu we-isosceles

  • a - isizathu;
  • b – side.

2. Ubude bobude hbedonseleka eceleni b, kuyalingana:

Izici zokuphakama zikanxantathu we-isosceles

Izici zokuphakama zikanxantathu we-isosceles

p – lena uhhafu-perimitha kanxantathu, ibalwa kanje:

Izici zokuphakama zikanxantathu we-isosceles

3. Ukuphakama ohlangothini kungatholakala nge-sine ye-engeli nobude bohlangothi unxantathu:

Izici zokuphakama zikanxantathu we-isosceles

Qaphela: kunxantathu we-isosceles, izici zobude ezijwayelekile ezethulwe eshicilelweni lethu - nazo ziyasebenza.

Isibonelo senkinga

Umsebenzi 1

Unxantathu we-isosceles unikezwa, isisekelo sawo esingu-15 cm, kanti uhlangothi luyi-12 cm. Thola ubude bobude behliselwe esisekelweni.

Isixazululo

Masisebenzise ifomula yokuqala ethulwe kuyo Impahla 3:

Izici zokuphakama zikanxantathu we-isosceles

Umsebenzi 2

Thola ubude obudwetshelwe ohlangothini lukanxantathu we-isosceles ubude obungu-13 cm. Isisekelo somfanekiso singama-cm angu-10.

Isixazululo

Okokuqala, sibala i-semiperimeter kanxantathu:

Izici zokuphakama zikanxantathu we-isosceles

Manje sebenzisa ifomula efanelekile yokuthola ubude (okumelelwe ku- Impahla 3):

Izici zokuphakama zikanxantathu we-isosceles

shiya impendulo