Construction: Draw OC and OB.
![](https://ai-shiksha.com/wp-content/uploads/2024/02/maharashtra-board-sol-class-10-maths-p2-chapter-3-24.png)
Proof:
Given AB and AC are the tangents and r is the radius of the circle.
AB = AC …….(i) [Two tangents from a common point are congruent]
OB = OC = r …(ii) [radii of same circle]
Given AB = r
AB = AC =OB = OC [From (i) and (ii)]
OBA = OCA = 90˚ [Tangent theorem]
ABOC is a square.