A circle is inscribed in a triangle ABC. It touches side AB, BC and AC at the points P. Q and R respectively. If BP = 8.5 cm, CQ = 6.5 and AR = 4.5 cm, then the perimeter (in cm) of the ΔABC is?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 39
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Concept |
Understanding |
Application |
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Tangents drawn from a same external point are of equal length. |
Given BP = 8.5, CQ = 6.5 and AR = 4.5 cm
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AP = AR = 4.5 cm BQ = BP = 8.5 cm CR = CQ = 6.5 cm Hence, Perimeter = AB + BC + CA = (4.5 + 8.5 + 6.5) × 2 = 19.5 × 2 = 39 cm |