Question

prove that the lengths of tangents drawn from an external point to a circle are equal..
draw digram also..➡➡♣

Answer 1

$\textbf{Answer is in Attachment !}$

Answer 2

Let OA and OB the radii of the given circle and AC and AB be the tangents drawn from the point O.

Now,

In ∆OAC and ∆OBC;

✔Angle (OAC) = Angle (OBC) 【 90° each】

✔OA = OB 【Radii of same circle】

✔OC = OC 【Commom】

so,
By SAS Congruency rule,

✔✔✔∆OAC = ∆OBC✔✔✔


Therefore,

✅✅✅OA = OB (cpct)✅✅✅

So,

Tangents drawn from a point to a circle are always EQUAL.

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