Question

D is the mid-point of side BC of ∆ABC and E is the mid-point of BD. If O is the mid-point of AE, then prove that:

ar(∆BOE) = 1/8 ar(∆ABC).​

Answer 1

$\huge\mathfrak{Bonjour!!}$

$\huge\mathcal\pink{Añswer:-}$

⛄ We know that a median divides a triangle into two triangles of equal areas...

Therefore,

ar (∆BOE) = 1/2 ar (∆ABE),

[Since, BO is a median]

= 1/2 × 1/2 ar (∆ABD),

[Since AE is a median]

= 1/2 × 1/2 × 1/2 ar (∆ABC),

= 1/8 ar (∆ABC)...

☘ HENCE PROVED!!!...｡◕‿◕｡

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$<marquee>❤Hope it helps❤$