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In a ` A B C`, find the measures of the angles of the triangle formed by joining themid-points of the sides of this triangle. |
Answer» Given D,E,F are mid point AB,BC and CA DE||AB,FE||BC and DF||CA DE||AB and BC and CA tranverse `/_CDE=/_B` `/_CED=/_A` EF||BC `/_AEF=/_C` and `/_AFE=/_B` OF||CA `/_BDF=/_C` and `/_BFD=/_A` `/_BDF+/_FDE+/_EDC=180^@` `/_C+/_FOE+/_B=180^@` `/_FDE=180-(/_B+/_C)` `/_FDE=/_A` `/_DEF=180^@-(/_A+/_C)=/_B` `/_EFD=180^@-(/_A+/_B)=/_A` `/_D=/_A,/_E=/_B,/_F=/_C`. |
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