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Question

If a plane cuts off intercepts OA = a, OB = b, OC = c from the co-ordinate axes, then the area of the triangle ABC=



A


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B


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C


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D


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Solution

The correct option is A



Length of sides are a2+b2,b2+c2,c2+a2 respectively.
Now use Δ=12s(sa)(sb)(sc).
Trick : Put a = 2, b = 2, c = 2, then sides will be 22,22 and 22 i.e., equilateral triangle. So area of this triangle will be Δ=34×(22)2=23 sq.units
Now option (a) Δ=1216+16+16=12×43=23. Hence the result.


Mathematics

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