How kuverenga nzvimbo netriangle?

Dzimwe nguva muupenyu pane mamiriro ezvinhu kana zvakakodzera yakawanda yokunyatsoongorora kuyeuka uchitsvaka chikoro ruzivo-refu kukanganwika. Somuenzaniso, zvakafanira kutsanangura nzvimbo panyika kana mativi chimiro fume kugadziriswa mune mufurati imwe private imba kana, uye zvakafanira kuti exchange sei zvinhu zvikuru kusiya pemvura ane mativi chimiro. Paiva nenguva apo iwe aizogadzirisa dambanemazwi ichi mumaminitsi mashoma, uye zvino kungoedza kuyeuka sei kuona nzvimbo netriangle?

Hazvina zvakafanira nokuda chiitiko ichi! Handiti, zvakajairika, kana uropi yasarudza idzokere-refu tsva ruzivo kune ari kure rekona, iyo vari dzimwe nguva havana nyore kubviswa. Saka haufaniri kutambura pamwe kutsvaka chikoro ruzivo vakakanganwa kugadzirisa dambudziko iri, nyaya ino ine nzira dzakasiyana-siyana kuti zvinoita nyore kuwana inodiwa nzvimbo Triangle.

Zvinonyatsozivikanwa kuti netriangle mhando iyi anonzi polygon, riri shoma shoma zvinoita nhamba kumativi. In Zvinotaurwa, chero polygon inogona rakakamurwa zvokuridza, unobva vertices ayo zvikamu kuti murege kuyambuka naye. Saka, kuziva nzira kuti pakuverenga nzvimbo netriangle, unogona ngaaverenge nzvimbo dzinenge chero chimiro.

Pakati zvose zvinogoneka zvokuridza zvinoitika muupenyu, vachitevera marudzi yakajeka: equilateral, isosceles uye zvakarurama-angled.

Nyore munzira nzvimbo Triangle rinowanikwa apo mumwe zvayo pamakona zvakarurama, kureva, panyaya netriangle zvakanaka. Zviri nyore kuona kuti ndiye hafu rectangle. Saka, imwe nzvimbo yakaenzana hafu zvinobikwa mapato, izvo zvinoumba pakati pavo yakarurama angled.

Kana tichiziva kukwira pamusoro Triangle, akatura kubva imwe vertices yaro negwara, uye kureba mhiri, unonzi nechigadziko, nzvimbo rinowanikwa sezvo zvibereko hafu nokukwirira zvitsigiro. Chakanyorwa pachishandiswa fomura ichi:

S = 1/2 * B * H, umo

S - zvinodiwa nzvimbo Triangle;

b, H - ukuwo, kureba uye mujinga Triangle.

Saka nyore kuverenga nzvimbo ane isosceles Triangle, sezvo kumusoro achagova divi nehafu, uye zviri nyore kuyerwa. Kana akasarudza nzvimbo pakati netriangle zvakarurama ari kumusoro zvakakunakira kutora urefu rimwe kumativi achiumba zvakarurama yorusvingo.

Zvose izvi Zvechokwadi zvakanaka, asi sei kuziva kana mumwe pamakona ose netriangle kurudyi kana kwete? Kana kukura nechipi yedu duku, unogona kushandisa pakona chacho, kuswedera Triangle, makadhi kana zvimwe zvinhu pamwe rectangular chimiro.

Asi chii kana tine mativi nomunda? Muchiitiko chino, munobuda sezvinotevera: kuverengwa kubva pamusoro wayo kurudyi angled rimwe divi daro siyana 3 (masendimita 30, 90 cm 3 m), ukuwo mhiri iri metered mu chete maererano daro akawanda of 4 (masendimita 40, 160 cm 4 m). Zvino unofanira kuyera chinhambwe pakati endpoints idzi zvikamu zviviri. Kana akatendeuka ukoshi 5 ukagunzva (masendimita 50, masendimita 250, 5 m), zvinogona nharo kuti pakona wedzinza.

Kana uchiziva kureba nerimwe mativi matatu nechipi yedu, nzvimbo netriangle kunogona tsunga kushandisa Heron kuti mutoo. Kuti zvakawanda nyore chimiro, shandisa kukosha itsva, iyo inonzi semiperimeter. Ndicho Verengai zvose kumativi Triangle yedu yakakamurwa hafu. Mushure semiperimeter kuverengwa, unogona mberi kuti kutsunga nharaunda maererano fomura:

S = sqrt (p (pa) (PB) (yori)), apo

sqrt - mativi mudzi;

peji - ukoshi semiperimeter (p = (a + b + c) / 2);

A, B, c - micheto (mativi) pamusoro Triangle.

Asi chii kana Triangle ane mugari chimiro? Pane zvinogoneka nzira mbiri. Wokutanga pavo kuedza kugovera dimikira kupinda zvokuridza maviri zvakanaka-angled, Verengai munzvimbo iyo kuverenga yoga uye akazotaurawo pamwechete. Neimwe nzira, kana anozivikanwa yorusvingo pakati mativi maviri uye kukura mativi izvi, kushandisa nzira:

S = 0.5 * AB * sinC, sezvamakaropafadzwa

A, B - divi Triangle;

C - pakona pakati mativi aya.

Nyaya yokupedzisira pane tsika hariwanikwi, asi zvakadaro, muupenyu zvose zvinogoneka, saka nzira haringapiwi okushamisira kupiwa kumusoro. rombo rakanaka Masvomhu dzenyu!