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ABC is an equilateral triangle and AX,BY and CZ are three parallel lines. Find the area of triangle ABC
ABC Is An Equilateral Triangle And AX,BY And CZ Are Three Pa...
Options:
A .  a2+b2−ab√3
B .  a2+b2+ab√3
C .  a2+b2√3
D .  a2−b2√3
Answer: Option B
:
B
ABC Is An Equilateral Triangle And AX,BY And CZ Are Three Pa...
There is no constraint given, other than that ABC is an equilateral triangle and AXBYCZ.
We can therefore assume that X,Y and Z are points on the side AC itself. If we assume the equilateral triangle to have a side=2, and the Y is the mid point of AC, then AY=YB=1
Area of the triangle
Look in the answer options and eliminate those options where you do not get 3on substituting a=1 and b=1
34a2=3
Answer is option (b)

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