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Question

The area of ΔABC is 32 cm2. AD is median and E is the midpoint jof AD. Find the area of ΔBED
1211429_e013924905864343b208cf9120344930.png

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Solution

In the given figure,
We know that in ΔADB BE is median hence,
ar(ΔBED)=ar(ΔAEB)=12ar(ΔABD)
ar(ΔBED)=12×16cm2
ar(ΔBED)=8cm2
Hence,
We get ar(ΔBED)=8cm2.

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