How kuwana nzvimbo isina isosceles Triangle

Dzimwe nguva mubvunzo sei kuwana nzvimbo isina isosceles Triangle, inomira kwete chete kune vadzidzi kana vadzidzi, asi chaicho, upenyu hunobatsira. Somuenzaniso, munguva kuvakwa zvakafanira kupedza France chiri pasi pedenga. How kuverenga chitsama kurudyi zvinhu?

Kazhinji nezvinetso zvakafanana nezvakaonekwa mhizha vanoshanda pamwe jira kana dehwe. Pashure pezvose, vakawanda mashoko zvichaita veza mumwe tenzi, inongova chakafanana isosceles Triangle.

Saka, pane nzira dzakawanda kukubatsira kuwana nzvimbo isina isosceles Triangle. Chokutanga - dzemaitirwe pane chawo uye kukwirira.

Zvinogadzirisa, tinofanira kuvaka kuti zvijeke MNP Triangle pamwe nechigadziko uye kureba MN PO. Zvino chinhu chakapedzwa mufananidzo: kubva pfungwa P kuti tara mutsetse zvaivapowo pasi, asi kubva pfungwa M - mutsetse newokuti kumusoro. Ngativerengei kudana mharadzano pfungwa Q. Kuti udzidze sei kuwana nzvimbo isina isosceles Triangle, tinofanira kufunga zvichiguma quadrilateral MOPQ, apo lateral divi Triangle, tine MP ndiye zvayo diagonal.

kutanga tinoratidza kuti chinhu rectangle. Sezvo isu akarivaka pachedu, tinoziva kuti mapato MO uye OQ zvinofanana. Uye chikamu QM uye OP vari kuenderana. Angle netwumatanda mutsetse POM, saka pakona OPQ zvakare kutungamirira. Somugumisiro, kunoguma chotyrohugolnik chinhu rectangle. Kuwana nzvimbo hakuzovi kwakaoma, ndicho chibereko PO ari OM. OM - ndiyo hafu mujinga Triangle MPN. Zvinoreva kuti nzvimbo isu ndikavakira rectangle ndiyo poluproizvedeniyu kureba netriangle mberi yayo.

Danho rechipiri racho pamberi pedu, sei kuona nzvimbo netriangle, uchapupu ndechokuti rectangle nzvimbo takagamuchira yakafanana yakapiwa isosceles netriangle, kureva kuti nzvimbo yacho, triangle kuri poluproizvedeniyu chawo uye kukwirira.

Kwakafanana pakutanga Triangle PON uye PMQ. Ndivo zvose rectangular, sezvo pakona chaipo mumwe wavo achiumbwa kureba, uye kodzero yorusvingo ari mamwe pakona rectangle. Hypotenuse vavo mapato ane isosceles Triangle, saizvozvovo kuenzana. PO QM uye makumbo vakaenzana uyewo dzakafanana mativi rectangle. Nokudaro, PON nzvimbo Triangle, uye Triangle PMQ akaenzana.

Nzvimbo yacho rectangle akaenzana nzvimbo yacho, triangle QPOM PQM uye MOP mu yose. Pavanotsiva kwakawedzera QPM netriangle netriangle PON, tinowana pakuverengwa rakapiwa kwatiri kuratidza Triangle theorem no. Zvino tinoziva sei kuwana nzvimbo isina isosceles netriangle nechepasi uye kukwirira - kuverenga poluproizvedenie yavo.

Asi iwe unogona kudzidza kuwana nzvimbo isina isosceles netriangle pasi uye divi. Pano pane nzira vaviri theorem no kuti Achibvuma pfungwa yaPythagoras uye Gerona. Funga mhinduro chete nokushandiswa Pythagorean theorem no. Somuenzaniso, tora chete isosceles Triangle ane yakakwirira PMN PO.

Mune zvakanaka, triangle POM MP - hypotenuse. Its square akaenzana vakaverenga dzinoungana vanhu PO uye OM. Sezvo OM - hafu nechigadziko, zvatinoziva, ipapo tinogona kuwana nyore OM uye tinova nhamba pachivara. Tikabvisa kubva mativi ose hypotenuse vaivavo, tinoona zvinhu yaiungana romumwe gumbo, inova kukwirira ane equilateral Triangle. Kuwana yaiungana mudzi musiyano uye vanoziva kureba netriangle zvakanaka, unogona kupa mhinduro kune basa pamberi pedu.

Uchingoda vawande kureba nechigadziko mugovane hafu. Sei chaizvo kuita, tine akatsanangura mune pachake uchapupu wokutanga.

Dzimwe nguva unofanira kuita Masvomhu parutivi uye pakona. Zvadaro tinowana pakakwirira uye chawo, kushandisa nzira yokuita Sine uye cosine, uye, zvakare, ivo kuwandisa, uye vagovane mugumisiro iri hafu.