Sida loo helo degaanka ee square ah oo ku saabsan dhinaca iyo diagonals ay?

Maanta, yar oo aan aqoon sida loo helo bedka laba jibbaaran. Inkasta oo ay jiraan, waxa hore u jiray in shalay fog ... Taasi waa, mar marka qof walba ogaa sida loo xisaabiyo bedka laba jibbaaran ah, maxaa yeelay, maanta, sidii isagoo aan macquul ahayn u muuqan kartaa, arrimaha ay ka midka ah ayaa la joogto ah muuqday on internetka. Waxaa la yaab leh, in la yidhaahdo yaraan - waa mid laga cabsado.

Xitaa dugsiga hoose waxaa la baraa sida loo helo meesha square. Laakiin waa in aad marka hore bartaan si ay u aqoonsadaan meesha leydi (square ah - oo dhan leydi la mid ah, laakiin la dhinac loo siman yahay).

Waxaa la soo jeediyay in la dhiso on a qiyaas square qaar ka mid ah degaanka ee cabbirka - centimitir square ama mitir oo laba jibbaaran. meel qiyaas Tani waa square ah la dhinac siman yahay ama uu ka mid centimitir ama hal mitir. Iyadoo ku xiran baaxadda aagga in la qiyaasay, waxay noqon kartaa hektar ah (kiiloomitir laba jibaaran), ama ar (square ah la dhinac ee 100 mitir, in si kale loo dhigo - "texeen"). Khaanadaha iyo Kuwani aamusnaan saaray leydiga cabbiro.

Waayo, tijaabo ah, waa inay qaataan leydi yar oo dhinac ah, tusaale ahaan, loo siman yahay ilaa 3 iyo 5 sentimitir. Ardayda Hufnaan yar ay u adeegto u soo jiidi tiradaasi a on xaashi in qafas, ka dibna qaybinaya leydiga khadadka isku midka ah ay weheliyaan dhererka iyo balaca, iyaga gelinayn ee gobolka of laba unugyada. Ajnabiga, labada unugyada ee buug dugsiga caadiga ah u dhigma hal sentimitir. Sidaas darteed, waxa ay u muuqataa in leydiga waxaa loo qaybiyaa sentimitir square, in la dhigayaa in waxa sentimitir square - aagga of tallaabooyin cabiraada.

Tallaabada xigta waa in ay ka wada tirin god galay leydi kooxda ka mid ah mid ka mid sentimitir. Waxaad marka hore iyaga tirin karaa sidii caadiga ahayd, fiiqaya in ay ul kasta. Markaas loo hubiyo in ay u isticmaalaan miiska ah dhufashada unlearning: heshay shan tiirar, mid kasta saddex god. iyaga dhufasho, waxaan si fudud u heli 15 sentimitir square. In la eego fudud, degaanka ee leydi kasta waa by tarmo oo dhererkeedu iyo width.

Bedelaadda tirada 5 on the "a", iyo tirada 3 on «b» ah, carruurta ka heli fududahay in lean formula aagga leydiga. Sidaas daraaddeed, waxaa soo baxday in S = faas b. Laakiin waa - formula ah leydiga. Waxaan sidoo kale u baahan in ay keenaan caadiga ah, sharxaya sida loo helo degaanka ee square ah!

Waa mid aad u fudud! Side of laba jibbaaran waa u siman yihiin, waxaa loola jeedaa in aad bedeli kartaa kooxda "b" ee caanaha ku jira "a". Markaasaad arki ra'yi soo socda: S = faas si fiican. Isku dhufashada tirada keligeed ku helo square ee tirada ama tirada oo ahaa darajadii labaad.

Si kastaba ha ahaatee, waxaa jira siyaabo kale si aad u ogaato meesha of laba jibbaaran. Tani, dabcan, wax dhibaato ah xisaabta dheeraad ah. Laakiin go'aankooda ah in ay ka soo muuqan formula gaar ah. Tusaale ahaan, loo dhigay si aad u ogaato sida heli degaanka ee square ah ma dhinaca iyo dadab ah.

Si loo xalliyo dhibaatada this, waxaa jira wax badan ka aqoon dugsiga hoose. Waxaan u baahan doonaa Aragtida ku Theorem. First, waxaan dhiso square ah, tus, NMOP NO dadab = m. Waxaan ka heli labada labaale siman xagalka qaab la m salka.

Dalbashada Aragtida kor ku xusan, waxaan ka heli dhinaca xagal midig. Nm afar gees + MO = NO in square ee square ah. Laakiin sida nm = MO, waxaan is afar gees + nm nm = NO in square ee square ah. Sidaa nm 2 afar gees = NO in square ah. Nm Raadi square la NO qaybinaya kartaa square galay laba.

Laakiin nm in square ah - taasi waa kaliya jawaabta su'aasha sida loo helo degaanka ee square ah! NO A - waa dadab ah square ah. Sidaas daraaddeed, waxaan keeni karaan formula cusub ayaa sheegay in aagga of square waa loo siman yahay si ay u kala bar diagonals ay, ka taagay in darajadii labaad.

Waxaa suurto gal ah in ay soo dheegato formula helida meel square weheliyaan gacan ee goobo Isasaaray dhexdeeda ama duruufaysnaa ku wareegsan. Laakiin iyadoo aan loo eegayn waxa ay dhibaatadu ma aannu xalin, aasaas weligiis talin doonaa in aan ku bartaan dugsiga hoose - in dhufashada labada dhinac leydiga, waxaad ka heli kartaa meelaha ay.