Tavi - Ganatleba
Tavi - Ganatleba
Tavi - Ganatleba
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I <strong>Tavi</strong>s mokle mimoxilva<br />
B<br />
A C<br />
B<br />
cx ax<br />
A C<br />
B<br />
cx ax<br />
A C<br />
bx<br />
samkuTxedebis msgavsebis niSnebi<br />
B 1<br />
A 1 C 1<br />
B 1<br />
c a<br />
A 1 C 1<br />
B 1<br />
c a<br />
A C 1 1 b<br />
I <strong>Tavi</strong><br />
1 Tu erTi samkuTxedis ori kuTxe meore<br />
samkuTxedis ori kuTxis tolia, maSin<br />
es samkuTxedebi msgavsia.<br />
∠A=∠A 1 , ∠B=∠B 1 , maSin ∆ABC~∆A 1 B 1 C 1 .<br />
2 Tu erTi samkuTxedis ori gverdi meore<br />
samkuTxedis ori gverdis proporciulia<br />
da am gverdebiT Seqmnili<br />
kuTxeebi tolia, maSin es samkuTxedebi<br />
msgavsia.<br />
AB BC<br />
= , ∠B=∠B , maSin ∆ABC~∆A B C .<br />
A1B1 B1C 1 1 1 1<br />
1<br />
3 Tu erTi samkuTxedis gverdebi meore<br />
samkuTxedis gverdebis proporciulia,<br />
maSin es samkuTxedebi msgavsia.<br />
AB BC AC<br />
= = ,<br />
A1B1 B1C1 A1C1 maSin ∆ABC~∆A 1 B 1 C 1 .<br />
Tu ∆ABC~∆A 1 B 1 C 1 , maSin<br />
a b c ma la ha r R P<br />
= = = = = = = = =<br />
a1 b1 c1 m l h r1 R1 P a1 a1 a1<br />
1<br />
,<br />
√S<br />
√<br />
sadac m a , l a , h a -iT aRiniSneba Sesabamisad a<br />
gverdis mediana, biseqtrisa da simaRle. r<br />
da R ki Caxazuli da Semoxazuli wrewiris<br />
radiusebia, P perimetria.<br />
S 1<br />
1
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