Question

prove that, the median of trapezium bisecf its diagonals​​

Answer 1

Answer:

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Answer 2

Answer:

Using your set-up, let the parallel edges be OC=ka and AB=a, and let OS=b

Let the median intersect the diagonal OB at The idea is to write the vector OD in two different ways and make them equal. We have

OD=λ(a+b–)=12b–+μa

Now since a–– and b– are not parallel, we have

λ=μ=12

Hence diagonal OB is bisected, and similarly with the other diagonal