Kupeza dera la rhombus: chilinganizo ndi zitsanzo

Rhombuses ndi chithunzi cha geometric; parallelogram yokhala ndi mbali 4 zofanana.

Area formula

Kutalika kwa mbali ndi kutalika

Dera la rhombus (S) ndi lofanana ndi kutalika kwa mbali yake ndi kutalika kwake komwe kumakokerako:

S = ndi ⋅ h

Ndi kutalika kwa mbali ndi ngodya

Dera la rhombus ndi lofanana ndi gawo la kutalika kwa mbali yake ndi sine ya ngodya pakati pa mbali zake:

S = ndi ² ⋅ popanda α

Ndi kutalika kwa diagonals

Dera la rhombus ndi theka lazopangidwa ndi ma diagonal ake.

S = ¹/₂ ⋅ d₁ ⋅ d₂

Zitsanzo za ntchito

Ntchito 1

Pezani malo a rhombus ngati kutalika kwa mbali yake ndi 10 cm ndipo kutalika kwake ndi 8 cm.

Kusankha:

Timagwiritsa ntchito njira yoyamba yomwe takambirana pamwambapa: S u10d 8 cm ⋅ 80 cm uXNUMXd XNUMX cm².

Ntchito 2

Pezani dera la rhombus lomwe mbali yake ndi 6 cm ndipo ngodya yake yayikulu ndi 30 °.

Kusankha:

Timayika chilinganizo chachiwiri, chomwe chimagwiritsa ntchito kuchuluka komwe kumadziwika ndi makonzedwe: S = (6 cm)² ⋅ tchimo 30° = 36 cm² ⋅ 1/2 = 18 cm².

Ntchito 3

Pezani malo a rhombus ngati ma diagonal ake ndi 4 ndi 8 cm, motero.

Kusankha:

Tiyeni tigwiritse ntchito njira yachitatu, yomwe imagwiritsa ntchito kutalika kwa ma diagonal: S = 1/2 ⋅ 4 cm ⋅ 8 cm = 16 cm².