T rougao

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TROUGAO Vrste trougla

description

T rougao. Vrste trougla. Trouglove dijelimo. Pravougli Oštrougli Tupougli. Raznostranični Jednakokraki Jednakostranični. Prema uglovima:. Prema stranicama:. Pravougli trougao. Ima jedan ugao pravi α =90° Stranice mu se zovu katete i hipotenuza Hipotenuza je najduža stranica - PowerPoint PPT Presentation

Transcript of T rougao

Page 1: T rougao

TROUGAOVrste trougla

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Trouglove dijelimoPrema uglovima: Prema stranicama:

Pravougli Oštrougli Tupougli

Raznostranični Jednakokraki Jednakostranični

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Ima jedan ugao pravi α=90° Stranice mu se zovu katete i

hipotenuza Hipotenuza je najduža stranica Katete su ujedno i visine

Pravougli trougao

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Svi su mu uglovi oštri 0°<α<90°

Oštrougli trougao

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Ima jedan tup ugao 90°<α<180°

Tupougli trougao

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Sve stranice su različite Jedna stranica je manja od zbira druge

dvije Jedna stranica je veće od razlike druge

dvije a-b<c<a+b

Raznostranični trougao

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Ima dvije jednake stranice Jednake stranice su kraci, a treća je

osnovica Uglovi na osnovici su jednaki Ako su dva ugla u nekom trouglu

jednaka, onda je to jednakokraki trougao

Jednakokraki trougao

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Ima sve jednake stranice Ima sve jednake uglove Svaki ugao iznosi 60° Ako su tri ugla u nekom trouglu

jednaka onda je to jednakostraničan trougao

Jednakostraničan trougao

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Posmatrajmo trougao na slici. Kakav je to trougao prema uglovima?A prema stranicama?

Primjer

AC

B

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Pošto trougao ABC ima jedan prav ugao, on je pravougli trougao.

U trouglu ABC stranice AB i BC su jednake, pa je to i jednakokraki trougao.

Trougao ABC je jednakokrakopravougli trougao.

Uglovi u tjemenima A i B iznose po 45°.

Rješenje:

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