Kutsvaga perimeter ye rhombus: formula uye mabasa

Muchinyorwa chino, tichaona nzira yekuverenga iyo perimeter ye rhombus uye kuongorora mienzaniso yekugadzirisa matambudziko.

Perimeter Fomula

1. Nekureba kwedivi

Chimiro (P) cherhombus chakaenzana nehuwandu hwehurefu hwemativi aro ose.

P = a + a + a + a

Nekuti mativi ese emufananidzo wakapihwa wejometri akaenzana, fomula yacho inogona kumiririrwa sezvizvi (divi rakapetwa ne4):

P = 4*a

2. Nekureba kwediagonals

Madiagonal echero rhombus anopindirana pakona ye90 ° uye akakamurwa nepakati padanho remharadzano, kureva:

• AO=OC=d₁/2
• BO=YE=d₂/2

Ma diagonals anopatsanura rhombus kuita mana matatu akaenzana ekurudyi: AOB, AOD, BOC uye DOC. Ngatitarisei zvakanyanya kuAOB.

Unogona kuwana divi AB, inova yese hypotenuse yerectangle nedivi rerhombus, uchishandisa theorem yePythagorean:

AB² = AO² + OB²

Isu tinotsiva mune iyi fomula kureba kwemakumbo, anoratidzwa maererano nehafu diagonals, uye tinowana:

AB² = (d₁/ Poshi)² + (d₂/ Poshi)², kana

Saka perimeter iri:

Mienzaniso yemabasa

Basa 1

Tsvaga perimeter yerhombus kana kureba kwayo kuri 7 cm.

Sarudzo:

Isu tinoshandisa fomu yekutanga, tichitsiva iyo inozivikanwa kukosha mairi: P u4d 7 * 27 cm uXNUMXd XNUMX cm.

Basa 2

Iyo perimeter ye rhombus ndeye 44 cm. Tsvaga rutivi rwemufananidzo.

Sarudzo:

Sezvatinoziva, P = 4 * a. Saka, kuti uwane rumwe rutivi (a), unofanira kupatsanura perimeter nechina: a = P / 4 = 44 cm / 4 = 11 cm.

Basa 3

Tsvaga perimeter ye rhombus kana diagonals yayo ichizivikanwa: 6 uye 8 cm.

Sarudzo:

Tichishandisa fomula umo kureba kweiyo diagonals inobatanidzwa, tinowana: