Question
ABC is an equilateral triangle and AX,BY and CZ are three parallel lines. Find the area of triangle ABC
Answer: Option B
:
B
There is no constraint given, other than that ABC is an equilateral triangle and AX || BY || CZ.
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 = √34 a2 = √3
Look in the answer options and eliminate those options where you do not get √3 on substituting a=1 and b=1.
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:
B
There is no constraint given, other than that ABC is an equilateral triangle and AX || BY || CZ.
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 = √34 a2 = √3
Look in the answer options and eliminate those options where you do not get √3 on substituting a=1 and b=1.
Answer is option (b)
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