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Question
Draw Δ ABC such that, AB = 8 cm, BC = 6 cm and ∠ B = 90°. Draw seg BD
perpendicular to hypotenuse AC. Draw a circle passing through points
B, D, A. Show that line CB is a tangent of the circle.
Solution
Seg BD ⊥ Seg AC
∴ΔADB is a right angled triangle.
∴ Seg AB is a diameter of the circle passing through the points
A,B and D
∴ Seg MB is a radius of the circle.
∠MBC is a right angle .................(Given)
∴ line CB is a tangent of the circle.
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