Question

triangleABC is right angled atA CA=6cm AB=8cm circumscribes a circle find radius of circle

Answer 1

Answer:

5cm

Step-by-step explanation:

by pythagoras theorem, CA²+ BA² = BC²

⇒6² + 8² = BC²

⇒100 = BC²  ⇒BC = √100  ⇒10 cm

In a circle, angle subtended by diameter is 90°

Since ∠A = 90°, BC is diameter

⇒radius = 10/2 = 5cm