exam

Asked by  | 25th Jul, 2009, 05:25: AM

Expert Answer:

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  | 26th Aug, 2009, 03:47: PM

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