Question
Download Solution PDFIn the figure, ABCD is a square. Find the length of tangent PC, if the radius of the circle is 5 cm.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFRadius of the circle is 5 cm
∴ Side of the square AB = BC = 5√2 cm
Suppose PB = x cm
In ΔPBC
⇒ PC2 = [(5√2)2 + x2]
We know that∶
PC2 = PB × PA
⇒ [(5√2)2 + x2] = x × (x + 5√2)
⇒ 50 + x2 = x2 + 5√2x
⇒ x = 5√2 cm
∴ PC = √[(5√2)2 + x2] = √(50 + 50) = 10 cmLast updated on Jun 13, 2025
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