Question
Download Solution PDFChord AB of a circle of radius 10 cm is at a distance 8 cm from the centre O. If tangents drawn at A and B intersect at P., then the length of the tangent AP (in cm) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius = 10 cm
Concept used:
Concept of similarity
AAA similarity → If all three angles in one triangle are the same as the corresponding angles in the other, then the triangles are similar.
Calculation:
In, the given figure,
ΔDAO ∼ ΔAPO [∵ ∠OAP = ∠ODA = 90° and ∠AOD is common in two triangles]
So,
AD/AP = DO/AO
⇒ 6/AP = 8/10 [6, 8, 10 pythagoras triplets]
⇒ AP = 60/8
⇒ AP = 7.5 cm
∴ Length of tangent AP is 7.5 cm
Last updated on Jul 14, 2025
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