The perimeter of the triangle which has circle O inscribed in the triangle is 44 units.
What is the two tangent theorem?
According to the two tangent theorem, if a point lies outside the circle and if two tangents are drawn from that point to a common circle then the length of both the tangents will be the same.
What is the parameter of the triangle?
We know already know about the two tangent theorem, therefore, in ΔABC,
AP = AQ = 12 units
BP = BR = 4 units
CQ = CR = 6 units
The perimeter of the triangle = (AP + AQ) + (BP + BR) + (CQ + CR)
= 12 + 12 + 4 + 4 + 6 + 6
= 44 units
Hence, the perimeter of the triangle which has circle O inscribed in the triangle is 44 units.
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