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# What is the ratio of area of triangle BOC to area of triangle AOC ,

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Re: What is the ratio of area of triangle BOC to area of triangle AOC , [#permalink]
chetan2u wrote:

What is the ratio of area of triangle BOC to area of triangle AOC , if the coordinates of vertices is as given in the attached figure?

(1) a = 2b
(2) X = 4 and a = 2

Attachment:
new Q.png

Area of a triangle = 1/2 * base * height. For both the triangles, we can see that the base is the same. But for triangle BOC, height = b, and for triangle AOC, height = a

Thus area of triangle BOC = 1/2 * base * b
Area of triangle AOC = 1/2 * base * a , so the ratio of their areas = b/a. We need to get the value of b/a

(1) a=2b . this will give us the ratio b/a, hence Sufficient.

(2) X=4, a=2. We have the value of a, but this will not give us the value of b. So Insufficient.