Nā Helu Trapezoidal – 3
Nā Helu Trapezoidal ʻo ia ka huina o ʻelua a ʻoi aku paha mau helu i ka lālani. Ua kūpono lākou i ko lākou inoa no ka mea hiki iā ʻoe ke hana i kahi trapezoid me kēlā mau kiko he nui, e like me ke kiʻi ma nā laʻana ma lalo nei. E hoʻomaopopo ʻo ka loaʻa ʻana o 1 kiko ma ka lālani luna e hoʻolōʻihi iki ana i ka manaʻo o ka trapezoid, akā ua ʻae ʻia no kēia mau helu.
KA PILI
ʻO wai nā helu e hiki ke hōʻike ʻia ma ke ʻano he huina o 2 mau helu i ka lālani?
HE ʻAHOLAHA
Aia kekahi mau ala maʻalahi e wehewehe ai i nā helu i hiki ke hōʻike ʻia ma ke ʻano he huina o 3 mau lālani
nā helu? 4 mau helu? 5 mau helu?
Notes
KA HOʻOPIʻI A ME KA ʻIMI ʻANA
Inā he helu ka huina o ʻelua mau helu i ka lālani, a laila ua like ia me n + (n + 1), ʻo ia hoʻi ʻo 2n + 1. ʻO nā helu o ke ʻano 2n + 1 nā helu ʻē e hoʻomaka ana me 3.
ʻO ka huina o nā helu ʻekolu e pili ana he (n – 1) + n + (n + 1) = 3n. ʻO kēlā me kēia hoʻonui o 3 e hoʻomaka ana me 6, ʻo ia ka huina o nā helu ʻekolu e pili ana.
ʻO ka huina o nā helu ʻehā e pili ana, ʻo ia ka (n – 1) + n + (n + 1) + (n + 2) = 4n + 2 = 2(2n + 1). ʻO kēlā me kēia helu i pāpālua i ka helu ʻē, e hoʻomaka ana me 10, ʻo ia ka huina o nā helu ʻehā e pili ana.
ʻO ka huina o nā helu ʻelima e pili ana he (n – 2) + (n – 1) + n + (n + 1) + (n + 2) = 5n. ʻO kēlā me kēia hoʻonui o 5 e hoʻomaka ana me 15, ʻo ia ka huina o nā helu ʻelima e pili ana.