Chapter 11.8, Problem 16WE

To determine

To Find: The probability that $\Delta ABC$ is a right angled triangle.

Answer to Problem 16WE

One

Explanation of Solution

Given: $AandB$ are the endpoints of the diameter. If $C$ is a point chosen at random on the circle.

  

Let the point $C$ on the circle.

  

  $\angle ACB={90}^{°}$

Because

We know that the diameter subtends a right angle to any point on the circle.

Therefore

  $\Delta ABC$ is a right angled triangle.

Thus

The probability is one.