tangents PQ and PR are drawn to a circle from an external point P if PQ=9 cm and angle pqr=60 degree then the length of the chord QR is
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Answer:
QR = 9 cm
Step-by-step explanation:
In triangle PQR
☆PQ = PR (Length of tangents from an external point are equal)
☆Therefore, L PQR = L PRQ (Angles opposite to equal sides are also equal)
☆BY ANGLE SUM PROPERTY OF TRIANGLE
L PQR + L PRQ + L QPR = 180°
60° + 60° + L QPR = 180°
120° + L QPR = 180°
L QPR = 180° - 120°
L QPR = 60°
☆If each angle of a triangle is 60° then it is an EQUILATERAL triangle.
☆Therefore, each side is also equal.
Hence, QR = 9 cm
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QR = 9 cm
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