A circle is touching the side BCBCBC of ABCABCABC at PPP and touching ABABAB and ACACAC produced at QQQ and RRR respectively. Prove that AQ=12(Perimeter of ABC)AQ=12(Perimeter of ABC)AQ=12(Perimeter of ABC).
A B C P R Q


Answer:


Step by Step Explanation:
  1. We know that the lengths of tangents drawn from an external point to a circle are equal.
    Thus, [Math Processing Error]
  2. We know that the perimeter of a triangle is the sum of the lengths of its sides. [Math Processing Error]
  3. Therefore, AQ=12(Perimeter of ABC).AQ=12(Perimeter of ABC).

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