ABCD , DCFE and ABFE parallelogram. show that ar( ADE ) =ar(BCF)
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Answered by
2
Answer:
Step-by-step explanation:
AE = BF.... ( opp. sides of the //gm)
AD = BC ..... ( " " )
DE = CF ....... ( " )
By SSS congruence rule , ADE ~ BCF
So, Since congruent s are exactly similar to each other , So , ar.ADE = ar. BCF.
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Answered by
1
It is given that ABCD is a parallelogram.
We know that opposite sides of a parallelogram are equal.
⊥ AD = BC ... (1)
Similarly, for parallelograms DCEF and ABFE,
it can be proved that
DE = CF ... (2) And,
EA = FB ... (3)
In ΔADE and ΔBCF,
AD = BC [Using equation (1)]
DE = CF [Using equation (2)]
EA = FB [Using equation (3)]
ΔADE congruent to ΔBCF (SSS congruence rule)
Area (ΔADE) = Area (ΔBCF)
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