ʻO ka ʻimi ʻana i kahi o kahi rhombus: formula a me nā hiʻohiʻona

Rhombuses he kii geometric; paralelogram me 4 mau aoao like.

ʻĀpana ʻāpana

ʻO ka lōʻihi a me ke kiʻekiʻe

ʻO ka ʻāpana o kahi rhombus (S) ua like ia me ka huahana o ka lōʻihi o kona ʻaoʻao a me ke kiʻekiʻe i huki ʻia iā ia:

S = a ⋅ h

Ma ka aoao ka loa a me ka huina

Ua like ka ʻāpana o ka rhombus me ka huinahā o ka lōʻihi o kona ʻaoʻao a me ka sine o ka huina ma waena o nā ʻaoʻao:

S = a ² ⋅ me ka ʻole α

Ma ka lōʻihi o nā diagonal

ʻO ka ʻāpana o kahi rhombus he hapalua o ka huahana o kāna mau diagonal.

S= ¹/₂ ⋅ d₁ ⋅ d₂

Nā laʻana o nā hana

Hana 1

E huli i ka ʻāpana o ka rhombus inā he 10 knm ka lōʻihi o kona ʻaoʻao a he 8 knm ke kiʻekiʻe i huki ʻia iā ia.

Hoʻoholo:

Hoʻohana mākou i ke kumu mua i kūkākūkā ʻia ma luna: S u10d 8 cm ⋅ 80 cm uXNUMXd XNUMX cm².

Hana 2

E huli i ka ʻāpana o ka rhombus nona ka ʻaoʻao he 6 knm a ʻo 30° kona ʻaoʻao.

Hoʻoholo:

Hoʻohana mākou i ka lua, e hoʻohana ana i nā nui i ʻike ʻia e nā kūlana hoʻonohonoho: S = (6 knm)² ⋅ hewa 30° = 36 knm² ⋅ 1/2 = 18 knm².

Hana 3

E huli i ka ʻāpana o ka rhombus inā he 4 a me 8 kenimika kona mau diagonal.

Hoʻoholo:

E hoʻohana kākou i ke kolu o ke kumu, e hoʻohana ana i nā lōʻihi o nā diagonal: S = 1/2 ⋅ 4 knm ⋅ 8 knm = 16 knm².