Please Solve this question. Also state what is ar here
Given : A ∆ABC.
D is the mid-point of BC
and E is the mid-point of AD.
RTP : ar (∆BED) = 1/4 ar (∆ABC)
Proof : Since AD is the median of ∆ABC,
Therefore, ar (∆ABD) = ar (∆ADC)
=> ar (∆ABD) = 1/2 ar (∆ABC) ---(1)
Since BE is the median of ABD,
Therefore, ar (∆BED) = ar (∆BAE)
=> ar (∆BED) = 1/2 ar (∆ABD)
= 1/2 × 1/2 ar (∆ABC) [from (1)]
Hence, ar (BED) = 1/4 ar (∆ABC)
There answer is option B