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In a triangle ABC ,E and F are the mid points of AC and AB respectively. The altitude AP to BC intersects EF at Q. Prove that AQ=QP |
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Answer» Hey, 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. Hope this helps you!!!! |
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