Math, asked by point0000, 3 months ago

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Answered by Anonymous
4

Answer:

Option (2) 1:6 is the correct option

Step-by-step explanation:

BD:CD = 1:2

ar(∆ABD)/ar(∆ABC) = 1/3

ar(∆ABD) = 1/3×ar(∆ABC)––––(1)

In ∆ABD, BO is the median and median divides the triangle into two triangles if equal areas.

Therefore, ar(∆OAB)=1/2ar(∆ABD)

From equation (1)

ar(∆OAB) = 1/2×1/3 ar(∆ABC)

ar(∆OAB) = 1/6×ar(∆ABC)

ar(∆OAB)/ar(∆ABC) = 1/6

ar(∆OAB):ar(∆ABC) = 1:6

Hope it helped you!

Have a great day!

Answered by Nageshwar64912
0

Answer:

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