A circle touches the side PQ of a ΔAPQ at the point R and sides AP and AQ produced at the points B and C, respectively. If the perimeter of ΔAPQ = 30 cm, then the length of AB is?
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e. 15 cm
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Concept |
Understanding |
Application |
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Two tangents from same external point are of same length. |
In the figure: AB = AC And PB = PR, RQ = QC |
Given perimeter of triangle APQ = 30 cm AP + PQ + QA = 30 ⇒ AP + PR + RQ + QA = 30 ⇒ AP + PB + QC + QA = 30 ⇒ AB + AC = 30 Since AB = AC ⇒ AB = 30/2 = 15 cm |