Answer :
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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