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Area within a triangle

I'm not able to get the basic idea, help me out of this!

Note by Agr Amul
3 years ago

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Label the vertices of the triangle A, B, C, with A at the top, B at the bottom left, C at the bottom right. Let the lines be BE and CF, where E, F are on lines AC and BC respectively. Let O be the point of intersection. Draw AO, which splits x into 2 triangles, with area y and z.

Hint: Apply the fact that for two triangles with the same height, the ratio of their areas is equal to the ratio of their base.

Calvin Lin Staff - 3 years ago

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But sir, how come we know about the heights. What can be its use then; help me out of this, please!

Agr Amul - 3 years ago

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Comment deleted Jan 14, 2015

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You to solve this question with this much information only.

Agr Amul - 3 years ago

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The number indicate the areas of the smaller triangles i guess?

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Yes, of-course.

Agr Amul - 3 years ago

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Comment deleted Jan 14, 2015

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@Azhaghu Roopesh M YES, you have to find x. 'x' is a area of the figure (that small portion). Moreover, all the measures given are in sq. units.

Agr Amul - 3 years ago

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Comment deleted Jan 14, 2015

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@Azhaghu Roopesh M No no, its not. Only this much information has been given , u have u use this only to solve the question.

Agr Amul - 3 years ago

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Comment deleted Jan 14, 2015

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@Azhaghu Roopesh M Keep trying, I will get to u later.

Agr Amul - 3 years ago

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