Huina triangle: o ka manaʻo a me ka waiwai

Na olelo hooholo o ka geometrical pilikia pono i ka weliweli nui o ka ike. Kekahi o na kumu wehewehe o keia 'epekema mea he pono-huina triangle.

Ma lalo o kēia manaʻo ua manaoia i ka geometrical huahelu iloko olaila o nā kihi ekolu a me ka aoao, a me ka nui ana o kekahi o ka pana pua, he 90 degere. Na aoao elua i e i ka huina akau kapaia e ka wāwae, ke kolu o ka aoao, a ua kue ia mea, ua kapaia ka hypotenuse.

Inā na mau wāwae i loko o ka aka like, ka mea, ua kapaʻia he isosceles akau triangle. Ma keia hihia, he mea i affiliation i ka mau ke ano o triangle mauna, a 'o ia hoʻi i ka waiwai ike i loko o nā pūʻulu. Hoole i ka pana pua ma ke kumu o ka isosceles triangle e mau loa aku i ka pahikaua kihi o ia ke aka e komo i loko o 45 degere.

Ke alo aku o kekahi o na kēia mau waiwai paipai i ka pono-huina triangle mea like i kekahi:

1. mau wāwae o nā triangle mauna e like;
2. huahelu i ka like hypotenuse a me kekahi o na wawae;
3. e like me ka hypotenuse, a me kekahiʻoi kihi;
4. malama i ke ano o ka like kona mau wāwae me ka huʻi huina.

Ka wahi o ka triangle akau he pōpilikia i hiki wawe ka hoʻohana hae nā papakuhikuhi, a me ka mea like no ka hapalua o ka huina hoonui o ka mea'ē aʻe nāʻaoʻaoʻelua.

na kēia mau 'ana ma i malama ma ka huinahń triangle:

1. uha he mea e, ma mua o ka 'O ia hoʻi hapaʻauhau o ka hypotenuse a me kona wānana ma luna o laila;
2. ina ana e wehewehe i ka pono triangle kaiapili, kona-oaio? e e kai piha i ka waena o ka hypotenuse;
3. kiʻekiʻe e holo ana mai ka huina akau o ka awelika hapaʻauhau a hiki i na nā wānana waiwai o na wawae o ka triangle ma kona hypotenuse.

Mea o ka mea i na mea a pau ma ka akau-huina triangle, i kēia mau waiwai e mau loa ana me ua mahaloia.

Pythagoras 'theorem

Ma waho aʻeo ia ka luna waiwai ano no huinahń triangle mauna i ke ana ma lalo nei: ke kahua o ka hypotenuse, ua like me ka huina o na mika pāhoʻonui lua o nā wāwae. Kēia theorem ua kapaia ma hope o kona hoʻokumu - ka Pythagorean theorem. Ae la oia i keia lākiō wā hana i loko o këia o ka waiwai o na kihikihiʻo kūkulu ma ka huinahń aoao o ka triangle.

E hoao hoi i ka theorem mākou i kūkulu i ke triangle ABC, na wawae o ka i denoted i ka a me ka b, a me ka hypotenuse c. Next, ua? Ieoaeunoai mau ahalike. Kekahiʻaoʻao, e ia i ka hypotenuse, i ka mau mau wāwae 'ē aʻe o ka huina.

A laila, hiki ke loaa ka mua wahi o ka hale i loko o nāʻaoʻao: e like me ka huina o na mau mea o ka eha triangle mauna ABC a me ka lua o ka hale, a me ka huinahalikeʻaoʻao, o ka papa, ua mau ka lākiō. E like. Ia mea:

4 a me ² + (ab / 2) = (i + b) ^2, hoohuli i ka kūpono hōʻike:

² +2 ab = a ² + b. ² + ab 2

E like me ka hopena, ua loaa: c. = A ² + b. ^{2 2}

Penei, geometric huahelu e like me kekahi mau huinahń triangle,ʻaʻole wale i ka waiwai a pau ano o na triangle mauna. Ke alo aku o ka huina akau hiki aku ai i ka mea i ka huahelu loaʻa nā hanana hoahanau. Lākou like nō e pono keia mau mea i loko o ole wale 'epekema akā, i loko o maʻamau o ke ola, e like me ia he aka me ka triangle pololei ua loaʻa mai'ō a'ō.