Kuwana nzvimbo ye rhombus: fomula uye mienzaniso

Rhombuses mufananidzo wejometri; parallelogram ine mativi mana akaenzana.

Area formula

Side kureba uye urefu

Nzvimbo yerhombus (S) yakaenzana nechigadzirwa chehurefu hwedivi rayo uye kureba kunokweverwa kwairi:

S = a ⋅ h

Nekureba nepakona

Nzvimbo yerhombus yakaenzana nechigadzirwa chechikwere chehurefu hwedivi rayo uye sine yekona pakati pemativi:

S = a ² ⋅ pasina α

Nekureba kwediagonals

Iyo nharaunda yerhombus imwe-hafu yechigadzirwa cheiyo diagonals.

S= ¹/₂ ⋅ d₁ ⋅ d₂

Mienzaniso yemabasa

Basa 1

Tsvaga nzvimbo yerhombus kana kureba kwedivi rayo kuri masendimita gumi uye kureba kwakakweverwa kwairi kuri 10 cm.

Sarudzo:

Isu tinoshandisa fomula yekutanga yakakurukurwa pamusoro: S u10d 8 cm ⋅ 80 cm uXNUMXd XNUMX cm².

Basa 2

Tsvaga nzvimbo ye rhombus iyo rutivi rwuri 6 cm uye ine acute angle iri 30 °.

Sarudzo:

Isu tinoshandisa yechipiri fomula, iyo inoshandisa huwandu hunozivikanwa nemamiriro ekugadzirisa: S = (6 cm)² ⋅ chivi 30° = 36 cm² ⋅ 1/2 = 18 cm².

Basa 3

Tsvaga nzvimbo yerhombus kana diagonals iri 4 uye 8 cm, zvichiteerana.

Sarudzo:

Ngatishandisei fomula yechitatu, inoshandisa kureba kwemadiagonals: S = 1/2 ⋅ 4 cm ⋅ 8 cm = 16 cm².