Kuwana nzvimbo yekona yekona: fomula uye mienzaniso

Triangle - Ichi chimiro chejometri chine mativi matatu akaumbwa nekubatanidza mapoinzi matatu mundege isiri yemutsetse wakatwasuka wakafanana.

General mafomula ekuverenga nzvimbo yeatatu

Nheyo uye urefu

Nzvimbo (S) yegonyo yakaenzana nehafu yechigadzirwa chehwaro hwayo nekukwirira kwayo.

Fomura yaHeron

Kuti uwane nzvimbo (S) yegonyo, unofanira kuziva kureba kwemativi ayo ose. Inotaridzirwa sezvinotevera:

p - semi-perimeter yegonyo:

Kuburikidza nemativi maviri nekona pakati pawo

Nzvimbo ye triangle (S) yakaenzana nehafu yechigadzirwa chemativi ayo maviri uye sine yekona pakati pawo.

Nzvimbo yekona yekona yekurudyi

Nzvimbo (S) yemufananidzo yakaenzana nehafu yechigadzirwa chemakumbo ayo.

Nzvimbo ye isosceles triangle

Nzvimbo (S) inoverengerwa uchishandisa fomura inotevera:

Nzvimbo ye equilateral triangle

Kuti uwane nharaunda yeyakajairika katatu (mativi ese emufananidzo akaenzana), unofanirwa kushandisa imwe yemafomula pazasi:

Kuburikidza nekureba kwedivi

Kuburikidza nekukwirira

Mienzaniso yemabasa

Basa 1

Tsvaga nzvimbo yekona kana imwe yemativi ayo iri 7 cm uye kureba kwakakweverwa kwairi kuri 5 cm.

Sarudzo:

Isu tinoshandisa fomula umo kureba kwedivi uye kureba kunobatanidzwa:

S = 1/2 ⋅ 7 masendimita ⋅ 5 masendimita = 17,5 masendimita².

Basa 2

Tsvaga nzvimbo yekona ine mativi 3, 4 uye 5 cm.

1 Mhinduro:

Ngatishandise fomula yeHeron:

Semiperimeter (p) = (3 + 4 + 5) / 2 = 6 cm.

Nekudaro, iyo S = √6(6-3)(6-4)(6-5) = 6 masendimita².

2 Mhinduro:

Nekuti gonyo ine mativi 3, 4 uye 5 ine rectangular, nzvimbo yaro inogona kuverengerwa uchishandisa fomura inoenderana:

S = 1/2 ⋅ 3 masendimita ⋅ 4 masendimita = 6 masendimita².