Angled netriangle: pfungwa uye zvivako

Chisarudzo zvinetso geometrical kunoda rakawanda ruzivo. Chimwe chinokosha tsanangudzo sayenzi iyi netriangle zvakarurama-angled.

Pasi pfungwa ichi ndechedu ari geometrical mufananidzo zvinosanganisira makona matatu uye mativi, uye kwakakura rimwe pamakona ndiyo madhigirii 90. Mapato anoumba zvakanaka yorusvingo vanonzi makumbo, bato wechitatu, iyo inoshora nayo, anonzi hypotenuse.

Kana namakumbo munhu wakaenzana, kunonzi kuva zvakanaka Triangle isosceles. Muchiitiko ichi kune chavanopinda vaviri mhando zvokuridza, izvo zvinoreva kuti ehupfumi kuchengetwa mumapoka maviri. Yeuka kuti pamakona mujinga ane isosceles netriangle nguva dzose zvachose saka unopinza micheto munhu akadaro ingasanganisira madhigirii 45.

Kuvapo mumwe anotevera zvivako kunoratidza kuti netriangle zvakanaka-angled akaenzana imwe:

1. makumbo maviri zvokuridza vakaenzana;
2. inofananidza mune hypotenuse uye mumwe makumbo;
3. vakaenzana kuti hypotenuse, uye chero unopinza makona;
4. vaichengeta mamiriro vakaenzana gumbo uye rikwanise angled.

Nzvimbo kurudyi Triangle rinowanikwa sezvo nyore kushandisa mureza Masvomhu, kana sezvo svinga akaenzana hafu chigadzirwa mamwe maviri.

zvinotevera Ukama zvinochengetwa mune rectangular Triangle:

1. gumbo chinhu chimwe pane Zvichakadaro Proportional pamusoro hypotenuse wayo fungidziro pamusoro payo;
2. kana kuda kutsanangura zvakarurama, triangle denderedzwa, centre ayo achaitwa iri pakati hypotenuse;
3. kukwirira nokubuda kubva kurudyi yorusvingo ndiwo avhareji Proportional pamaberere pakati makumbo Triangle panguva yayo hypotenuse.

Interesting ndechokuti chero Triangle zvakanaka-angled, zvivako izvi nguva dzose kuremekedzwa.

Achibvuma pfungwa yaPythagoras theorem no

Kuwedzera pamusoro apa ehupfumi mamirire nokuda rectangular zvokuridza ezvinhu anotevera: yaiungana pamusoro hypotenuse akaenzana vakaverenga dzinoungana vanhu makumbo. theorem no iri zita namarudzi muvambi - the Pythagorean theorem no. Akavhura reshiyo ichi kana tichiita kudzidza ehupfumi ari dzinoungana akavakwa pamusoro rectangular kumativi Triangle.

Kuti aratidze kuti theorem no isu kuvaka netriangle ABC, makumbo iyo runotaurwa munhu uye b, uye hypotenuse c. Next, isu kuvaka mbiri dzakaenzana. Rimwe divi ichava hypotenuse, vamwe vaviri makumbo Verengai.

Zvadaro, nzvimbo rokutanga mativi anogona kuwanikwa nenzira mbiri: sezvo Verengai dzine zvokuridza zvina ABC uye yechipiri sikweya, kana sezvo yaiungana divi, Chokwadi, kuti ratios izvi vakaenzana. Ndiko:

4 ne ² + (AB / 2) = (a + b) ^2, exchange kunoguma okuti:

² +2 AB = ² + b ² + AB 2

Somugumisiro, tinowana: c = ² + b ^{2 2}

Saka, geometric mufananidzo unoenderana munhu rectangular netriangle, kwete chete ose ehupfumi chakanangana zvokuridza. Kuvapo kodzero yorusvingo kunotungamirira ndechokuti nhamba ane mamwe nemamwe pabonde. kudzidza kuchava kubatsira kwete chete zvesayenzi asiwo muupenyu hwezuva nezuva, sezvo munhu sezvo netriangle zvakanaka inowanikwa kwose kwose.