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.

Answer 1

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.