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PQ-PT [Because tangents drawn from an external point to the circle are equal in length]
PL+LQ = = PM + MT
PL + LN = PM + MN ... (i) (LQ = LN, MT = MN)
[Because tangents drawn from an external point to the circle are equal in length]
Perimeter(PLM) PL + LM + PM
= PL + LN + MN + PM
= PL + LN + PL + LN [Using (i)] = 2(PL + LN)
= 2 (PL + LQ) = 2 × 28 = 56cm : LQ = LN =
MT = MN [Because tangents drawn from an external point to the circle are equal in length]
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