gTavazobT saerTo samagistro gamocdis testis nimuSs
gTavazobT saerTo samagistro gamocdis testis nimuSs gTavazobT saerTo samagistro gamocdis testis nimuSs
testi 1 amocana 16 naxazze gamosaxulia ABC D paralelogrami, romlis B da D wveroebidan gavlebulia BE da DF simaRleebi. miRebuli BFDE oTxkuTxedi kvadratia. mocemulia Semdegi ori piroba: I. ABE da C DF samkuTxedebidan TiToeulis perimetri 30 sm-is tolia. II. BFDE kvadratis perimetri 48 sm-is tolia. imisaTvis, rom vipovoT ABC D paralelogramis perimetri, (a) sakmarisia I piroba, xolo II piroba ar aris sakmarisi. (b) sakmarisia II piroba, xolo I piroba ar aris sakmarisi. (g) sakmarisia I da II piroba erTad, magram cal-calke arc erTi ar aris sakmarisi. (d) sakmarisia TiToeuli piroba cal-calke. (e) orive piroba erTad ar aris sakmarisi, saWiroa damatebiTi pirobebi. I piroba sakmarisia ABCD paralelogramis perimetris sapovnelad, radgan am paralelogramis perimetri ABE da CDF samkuTxedebis perimetrebis jamis tolia. marTlac, radgan BFDE kvadratia, BF BE , amitom ABE samkuTxedis perimetri EABF texilis sigrZis tolia. analogiurad, radgan DE DF , amitom CDF samkuTxedis perimetri FCDE texilis sigrZis tolia. rCeba SevniSnoT, rom ABCD paralelogramis perimetri EABF da FCDE texilebis sigrZeebis jamis tolia. vaCvenoT, rom II piroba ar aris sakmarisi ABCD paralelogramis perimetris dasadgenad. amisaTvis, ganvixiloT qvemoT mocemul 1 da 2 naxazebze gamosaxuli paralelogramebi (monakveTebis zomebi santimetrebSi da marTi kuTxeebi miTiTebulia). orive maTgani akmayofilebs II pirobas, Tumca, pirvel SemTxvevaSi ABCD paralelogramis perimetri 60 sm-ia, meore SemTxvevaSi ki _ 96 sm. 144 A B E F D C
A ganmartebebi, raodenobrivi msjeloba ase rom, mxolod II piroba ar aris sakmarisi ABC D paralelogramis perimetris calsaxad dasadgenad. swori pasuxia (a). A 13 5 B 12 F 5 C E 145 D B 12 F 16 C E 12 12 20 12 12 20 16 naxazi 1 12 naxazi 2 12 D 13
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A<br />
ganmartebebi, raodenobrivi msjeloba<br />
ase rom, mxolod II piroba ar aris sakmarisi ABC D paralelogramis<br />
perimetris calsaxad dasadgenad.<br />
swori pasuxia (a).<br />
A<br />
13<br />
5<br />
B 12 F 5 C<br />
E<br />
145<br />
D<br />
B 12 F<br />
16<br />
C<br />
E<br />
12<br />
12<br />
20 12 12<br />
20<br />
16<br />
naxazi 1<br />
12<br />
naxazi 2<br />
12<br />
D<br />
13
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