CBSE Class 9 Answered
exam
Asked by | 25 Jul, 2009, 05:25: AM
Expert Answer
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Given: AF = CD = BF
To prove: AB = BC= CA
Proof:
Consider 
BDC and EBC
BC = BC (common)
BD = BE (altitudes are equal)
BDC = EBC = 900 (altitude)
By RHS BDC 
EBC
ABC = ACB
⇒ AB = AC.......(1)
Similarly we can prove that
BC = AC.......(2)
and there by from (1) & (2)
AB = BC = AC
Hence the ABC is an equilateral triangle.
Answered by | 26 Aug, 2009, 03:47: PM
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