Find Length of Tangent AP | AP, AQ & BC are tangents to Circle | AB = 5, AC = 6 & BC = 4 | Geometry

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Find Length of Tangent AP | AP, AQ & BC are tangents to Circle | AB = 5, AC = 6 & BC = 4 | Geometry

In the given figure, AP, AQ and BC are tangents to the circle. If AB = 5 cm, ac = 6 cm, and BC = 4cm, then find the length of AP.

Learn how to Find length of tangent AP | Important Geometry Skills Explained. Important Geometry and algebra skills are also explained: Tangent to a Circle from an exterior point Theorem. Step-by-step tutorial by @MathbookYouTube

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AKSHAYKUMAR

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khombongmayumachou

Solution:
Through the construction is BP=BT, TC=CQ and AP=AQ.
(1) BT+TC = 4
(2) 5+BT = 6+TC |-TC-5 ⟹
(2a) BT-TC = 1 | (2a) + (1) = (3) 2*BT = 5 |/2 ⟹
(3a) BT = 2, 5 = BP ⟹ AP = AB+BP = 5+2, 5 = 7, 5[cm]

gelbkehlchen

If BC is a tangent to the circle (given), then AB and AC should be of equal length (isoceles triangle). Not 5cm and 6cm.

mohabatkhanmalak

Find Length of Tangent AP | AP, AQ & BC are tangents to Circle | AB = 5, AC = 6 & BC = 4 | Geometry

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