Mathematics
In figure (i) given below, triangle ABC is circumscribed, find x.
Circles
ICSE
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Answer
From figure, AP and AQ are the tangents to the circle.
∴ AQ = AP = 4 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From figure, BP and BR are the tangents to the circle.
∴ BR = BP = 6 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From figure,
CQ = CA - AQ = 12 - 4 = 8 cm.
From figure, CQ and CR are the tangents to the circle.
∴ CR = CQ = 8 cm. (∵ if two tangents are drawn to a circle from an external point then the tangents have equal lengths.)
From figure,
x = BR + CR = 6 + 8 = 14 cm.
Hence, the value of x = 14 cm.
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