Ukuthola indawo ye-rhombus: ifomula nezibonelo

I-Rhombus isithombe sejometri; ipharalelogramu enezinhlangothi ezi-4 ezilinganayo.

Ifomula yendawo

Ubude obuseceleni nobude

Indawo ye-rhombus (S) ilingana nomkhiqizo wobude bohlangothi lwayo nokuphakama okudonseleka kuyo:

S = a ⋅ h

Ngobude obuseceleni kanye ne-engeli

Indawo ye-rhombus ilingana nomkhiqizo wesikwele sobude bohlangothi lwayo kanye ne-sine ye-engeli phakathi kwezinhlangothi:

S = a ² ⋅ ngaphandle α

Ngobude bama-diagonal

Indawo ye-rhombus iyingxenye yomkhiqizo wama-diagonal ayo.

S= ¹/₂ ⋅ d₁ ⋅ d₂

Izibonelo zemisebenzi

Umsebenzi 1

Thola indawo ye-rhombus uma ubude bohlangothi lwayo buyi-10 cm futhi ukuphakama okudonseleka kuyo kungu-8 cm.

Isinqumo:

Sisebenzisa ifomula yokuqala okukhulunywe ngayo ngenhla: S u10d 8 cm ⋅ 80 cm uXNUMXd XNUMX cm².

Umsebenzi 2

Thola indawo ye-rhombus ehlangothini layo lingu-6 cm futhi i-angle yayo ebukhali ingu-30 °.

Isinqumo:

Sisebenzisa ifomula yesibili, esebenzisa amanani aziwa ngezimo zokusetha: S = (6 cm)² ⋅ isono 30° = 36 cm² ⋅ 1/2 = 18 cm².

Umsebenzi 3

Thola indawo ye-rhombus uma i-diagonals yayo ingu-4 no-8 cm, ngokulandelana.

Isinqumo:

Masisebenzise ifomula yesithathu, esebenzisa ubude bamadiagonal: S = 1/2 ⋅ 4 cm ⋅ 8 cm = 16 cm².