pitagorin pouČak na terenu
DESCRIPTION
PITAGORIN POUČAK NA TERENU. MENTOR: prof. Frane Pavičić. PITAGORIN POUČAK. Zbroj površina kvadrata nad katetama jednak je površini kvadrata nad hipotenuzama. U pravokutnom trokutu vrijedi c² = a² + b² C = duljina hipotenuze a i b = duljine kateta. PRIMJER. 5 cm. 3 cm. a = 3 cm - PowerPoint PPT PresentationTRANSCRIPT
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PITAGORIN POUČAK
NA TERENUMENTOR: prof. Frane Pavičić
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PITAGORIN POUČAK
Zbroj površina kvadrata nad katetama jednak je površini
kvadratanad hipotenuzama.
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U pravokutnom trokutu vrijedi
c² = a² + b²
C = duljina hipotenuzea i b = duljine kateta
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PRIMJER
a = 3 cmb = 4 cm c² = a² + b² c² = 3² + 4² c² = 9 + 16 c² = 25 c = √25 c = 5 cm
3 cm
4 cm
5 cm
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ZADATAK
Učitelj nam je zadao naš zadatak. Moramo konstruirati pravokutnik veličine 5 x 7 m.
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PRIBOR
1. 4 kolca 2. Čekić3. Čavli4. Škare5. Špaga6. Metar7. Šk. Pribor
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RJEŠAVANJE ZADATKA
Budući da pravokutni trokut ima
4 prava kuta, a Pitagorin poučak nam
omogućuje da možemo provjeriti pravi
kut, primijenit ćemo Pitagorin poučak.
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1. Povukli smo stranicu(špagu)
od 7 metara.Na krajevima stranice smo zabili kolce.
7 m
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2. Izračunali smo duljinu dijagonale
c² = a² + b²c² = 7² + 5²c²= 49 + 25
c² = 74c = √74
c = 8.60 m
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3. Sa dijagonalom i stranicom od
5 m smo išli do mjesta gdje se spajaju.Na tom mjestu smo zabili kolac.
7 m
5 m
8.6 m
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4. Uzeli smo špage od 7 i 5 m.
Išli smo do mjesta gdje se spajajui zabili smo kolac na tom mjestu.
7 m
5 m
8.6 m5 m
7 m
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5. Da bismo bili sigurni da nam je dobro ispalo morali smo provjeriti drugom dijagonalom. Izmjerili smo 8.6 m špage i napravili dijagonalu koja je bila točno duga koliko je trebala. USPJEŠNO SMO OBAVILI ZADATAK!!!
7 m
7 m
5 m8.6 m
5 m 8.6 m
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6. ZAKLJUČAK
Pomoću Pitagorinog poučka možemo napraviti pravi kut
BRZO I EFIKASNOBEZ SPRAVA
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SLIKE
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PRIMJENA
Pitagorin poučak se primjenjuje u građevini
kod npr. temelja za kuću. S pitagorinim poučkom možemo iskontrolirati jer je kućanapravljena pod pravim kutom.
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Prezentaciju izradili:
Martin PandekJosip Rac
Mateo KemfeljaKristian Pižir