Question

in triangle abc E and F are the midpoints of AC and a b respectively the attitude AP to BC intersect EF at Q prove that PQ is equal to q p​

Answer 1

Step-by-step explanation:

In triangle ABC,

F is the mid point of AB

E is the mid point of AC

Therefore,

FE//AB & FE=1/2AB(Mid point theorem).

Now,

In triangle ABP,

F is the mid point of AB

FQ//BP(FQ and BP are parts of FE and BC respectively)

Therefore,

Q is the mid point of AP(Converse of mid point theorem)

Hence, AQ=QP.

Hence, proved.

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