मराठी

In figure, MN || BC and AM : MB = 1 : 2, then (ar(ΔAMN))/(ar(ΔABC)) = ______. - Mathematics

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प्रश्न

In figure, MN || BC and AM : MB = 1 : 2, then `(ar(ΔAMN))/(ar(ΔABC))` = ______.

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उत्तर

In figure, MN || BC and AM : MB = 1 : 2, then `(ar(ΔAMN))/(ar(ΔABC))` = `underline(1/9)`.

Explanation:

Here, AM = k, MB = 2k.

And MN || BC

∴ AB = AM + MB

= k + 2k

= 3k


∴ `(ar(ΔAMN))/(ar(ΔABC)) = (AM^2)/(AB^2)`

= `k^2/(9k^2)`

= `1/9`

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