Question

prove that the tangent segment drawn from an exterior point to a circle are congruent
please right answer Dena school paper hai​

Answer 1

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Answer 2

Answer:

To prove: Tangents drawn to a circle from a point in the exterior of the circle are congruent.

The exterior point as shown in the figure is T.

The centre of the circle is O.

To show:PT=QT

Consider ΔPTO and ΔQTO

OP=OQ(radii of the circle)

OT=OT(common side)

∠OPQ=∠OQT=90(Tangent to the circle is perpendicular to the radius at the point of tangency.)

Hence by RHS triangles are equal that is ΔPTO≅ΔQTO

Therefore PT=QT

Hence, Tangents drawn to a circle from a point in the exterior of the circle are congruent.

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