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Area of the equilateral triangle:
Given : D, E, F are the mind points of BC, CA, AB.R.T.P. : We have to determine the ratio of the area of of triangle DEF and triangle ABC.Proof : F is the mid point of AB.D is the mid point of BC.
FD||AC => FD||AE
Similarly ED||AFFE||BD AFDE is a parallelogram.∠A = ∠D (Opposite angles in a parallelogram)
Similarly BDEF is a parallelogram.∠B = ∠E
In ΔABC, ΔDEF
∠A =∠D proved
∠B =∠E proved
ΔABC ~ ΔDEF (A. A similarity)
Ratio of the areas of triangle DEF and triangle ABC = 1 : 4
how to calculate the npv
no the parallel lines do not meet at infinity because the parallel lines never intersect each other even at infinity.if the intersect then it is called perpendicuar lines
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