Indlela ukufumana indawo unxantathu tye ngendlela engaqhelekanga

Phezu izifundo geometry kwisikolo samabanga aphakamileyo sonke sithetha yokufumana indlela kummandla engunxantathu kanxantathu. Noko ke, kwikharityhulam yesikolo siye kuphela nolwazi oluyimfuneko kwaye bafunde iindlela ukubala kakhulu ne. Ingaba kukho naziphi na iindlela angaqhelekanga lokufumana eli xabiso?

Njengentshayelelo, masikhumbule oko kuthathwa ukuba unxantathu uxande ukuchaza ukuba ingqikelelo isithuba.

unxantathu Right kuthiwa imilo evaliweyo zejiyometri, enye kwikona ngokucacileyo ilingana no 90 ^0. Ezendeleyo kwinkcazelo ingqiqo ka nxantathu ekunene ke imilenze kunye hypotenuse. Phantsi imilenze ukuthini emacaleni aso omabini, leyo kwindawo uqhagamshelwano ibe esinekona sasekunene. Hypotenuse - icala akwiengile elungileyo. unxantathu ngqo inokuba i isosceles (macala omabini iza kuba ubungakanani obufanayo), kodwa soze (macala onke ubude obulinganayo) alinganayo. ukuphakama limisele udibaniso, zithwala kunye neminye imiqathango zemathematika akayi uxoxe ngokwenkcukacha. Baya lula afumaneka kwiincwadi reference.

Ummandla unxantathu ngqo. Ngokungafaniyo amaxande mthetho ukusebenza amaqela ekumiseleni kummandla unxantathu awukho semthethweni. Ukuthetha ulwimi owomileyo yamabinzana indawo triangle ukuqonda yipropathi mzobo ukuba ahlale yinxalenye ye-moya, va njengenani. Kakhulu kunzima ukuqonda, uyavuma. Asizi kuzama ukuba zingene nzulu kulo inkcazelo, injongo yethu kukuba akunjalo. Ngoku vula ukuya ingongoma ephambili - yokufumana njani indawo kanxantathu sokunene? Ukubala aziyi kuvelisa ngokwabo, sinikhankanya ifomula kuphela. Ukuze wenze oku, siya uchaze izihionipho: A, B, C - ecaleni lika nxantathu, imilenze - AB, BC. Angle ACB - umgca othe ngqo. S - ndawo lo nxantathu, h _{n n} - ukuphakama unxantathu, apho nn - iqela apho base- khona.

Indlela 1: Indlela ukufumana indawo unxantathu ilungelo ukuba sazi ukubaluleka kwezinye macala omabini

S = 0.5 * * b

Indlela 2: Fumana indawo unxantathu isosceles ekunene

S = 0.5 * _BC h * _BC

3. Ukubala Indlela yoxande indawo nge

Gqibezela ukwakha unxantathu ilungelo isikwere (ukuba unxantathu isosceles) okanye uxande. Thina afumane quadrangle elula, akhiwa 2 oonxantathu ezifanayo ekunene. Kulo mzekelo, indawo womnye kubo iya kulingana isiqingatha kummandla mzobo ifunyenwe. S uxande macala imveliso Bala. Thina libhekisela eli xabiso M. Ixabiso oyifunayo iya kulingana kwisiqingatha kummandla M.

S = 0.5 * M

Indlela 4: "nebrukhwe kaPythagoras." Le theorem odumileyo kaPythagoras

Sonke khumbula mazwi kuyo: "udibaniso lwezikweri zonke imilenze ...". Kodwa hhayi bonke bathi, kwaye apha ezinye "iblukhwe". Isibakala sokuba kaPythagoras original wafunda ubudlelwane indawo ye isikwere, eyakhelwe emacaleni nxantathu ngqo. Ngokuqaphela neepateni ulwalamano lomba izikwere, kwaye waba nako ukuzisa ifomula ezaziwayo-kakuhle sonke. kokuba usetyenziswe xa ixabiso olungaziwayo lwe omnye amaqela.

5. Inkqubo ukufumana indawo nxantathu ekunene ifomula nguHeron kaThixo

Kananjalo indlela olude elula ukubala. Ifomula iquka ibinzana lo nxantathu ngokusebenzisa imilinganiselo ngamanani emacaleni aso. Kuba izibalo kuyimfuneko ukwazi ixabiso onke amacala kanxantathu.

S = (p-AC) * (p-BC), apho p = (AB + BC + AC) * 0.5

Ngaphandle ngasentla, kukho ezinye iindlela ezininzi ukufumana ixabiso figure qembu efana unxantathu. Phakathi kwabo: indlela yokubala le kubhalwe okanye nezisekelwe ukubalwa isangqa usebenzisa uququzelelo enekona, ukusetyenziswa bezifo, ubukhulu olungagungqiyo sines, tangents.