Q32 of 93 Page 10

In Fig. 10.94, if AB = 8 cm and PE = 3 cm, then AE =

Given:


AB = 8 cm


PE = 3 cm


Property: If two tangents are drawn to a circle from one external point, then their tangent segments (lines joining the external point and the points of tangency on circle) are equal.


By above property,


AB = AC = 8 cm (tangent from A)


PE = CE = 3 cm (tangent from E)


Now,


AE = AC – CE


⇒ AE = 8 cm – 3 cm


⇒ AE = 5 cm


Hence, AE = 5 cm

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