Q15 of 105 Page 598

In the given figure, AT is a tangent to the circle with center O such that OT = 4 cm and ∠OTA = 30°. Then, AT = ?

In △ OAT ,


OA ⏊ AT [Tangents drawn at a point on circle is perpendicular to the radius through point of contact]


∴OAT is a right - angled triangle at A and





AT = 2√3 cm

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