Proof: Lengths of two tangents from an external point to a circle are equal #shorts

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If we draw two tangents from an external point to a circle, the lengths of these two tangents are equal. This can be proved by using the following concepts:
1. All radii of the circle are equal
2. A tangent to a circle is perpendicular to the radius of the circle at the point of tangency.
3. Two triangles are congruent if they satisfy the RHS criterion of congruency
- R: Both are right angled triangles
- H: Both have equal hypotenuses
- S: Besides hypotenuse, there is another pair of equal corresponding sides

Alternate Description
The tangents drawn from an external point to a circle are equal.
The lengths of tangents drawn from an external point to a circle are equal.
Tangent segments from a single point to a circle at different points are equal.

#circle #tangents #geometry

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Plzz do many videos like this sir!! Thank u 🥰💛

ranjini.c

Thank you now I might pass my final tomarrow 💀

To any math teachers reading this, just link videos like this. Not long explanations, just shorts. Very easy to understand as a 16 yr old

Janxaa

Thank you very much! One question: how do we know that the angles ABO and ACO are 90 degrees?

alittax

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