Two Tangents from the Same External Point Are Equal | Circle Theorem | Class 10 Maths #circle #maths

Dr. Suresh Sharma
リアクション
2026年08月25日
Two Tangents from the Same External Point Are Equal | Class 10 Maths 📐

Why are two tangents drawn from the same external point to a circle always equal?

In this short animated proof, we use RHS congruence to establish the result step by step:

🔹 OA = OB — radii of the same circle
🔹 OP = OP — common side
🔹 ∠OAP = ∠OBP = 90° — radius is perpendicular to the tangent
🔹 Therefore, ΔOAP ≅ ΔOBP by RHS
🔹 Hence, PA = PB ✅

A simple visual explanation of an important Class 10 Geometry / Circles theorem.

📚 Topic: Circles — Equal Tangents
🎓 Level: Class 10 Mathematics
📐 Concept: Congruence of Right Triangles (RHS)

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