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Area and triangle

by | Nov 30, 2023 | questions

In a triangle ABC, D is the middle point of the side BC, E is the middle point of AD, F is the middle point of BE, and G is the middle point of FC. The area of triangle EFG represent which part of the area of the triangle ABC ?

Hint : Trace a segment EC. Compare the area of triangle ABC with the area of triangle EBC, the area of triangle EBC with the area of EFC and finally the area of triangle EFC with the area of triangle EFG.

I need a proof with theorems and all the reasoning to solve this situation

thanx

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In a triangle ABC, D is the middle point of the side BC, E is the middle point of AD, F is the middle point of BE, and G is the middle point of FC. The area of triangle EFG represent which part of the area of the triangle ABC ?

Hint : Trace a segment EC. Compare the area of triangle ABC with the area of triangle EBC, the area of triangle EBC with the area of EFC and finally the area of triangle EFC with the area of triangle EFG.

HYPOTHESIS CONCLUSION We got a triangle ABC
E is the middle of AD (AE=ED)
F is the middle of BE (BF=FE)
G is the middle of FC (FG=GC) The area of triangle EFG represent which part of the area of the triangle ABC
In a triangle ABC, D is the middle point of the side BC, E is the middle point of AD, F is the middle point of BE, and G is the middle point of FC. The area of triangle EFG represent which part of the area of the triangle ABC ?

Hint : Trace a segment EC. Compare the area of triangle ABC with the area of triangle EBC, the area of triangle EBC with the area of EFC and finally the area of triangle EFC with the area of triangle EFG.

HYPOTHESIS CONCLUSION We got a triangle ABC
E is the middle of AD (AE=ED)
F is the middle of BE (BF=FE)
G is the middle of FC (FG=GC) The area of triangle EFG represent which part of the area of the triangle ABC

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