Question

Locate the incentre of the right angled triangle shown below.

Answer 1

Steps:

1. Construct a right angled triangle of the dimensions as shown.
2. Construct an angle bisector of all the three angles i.e. angle bisector of ∠M, ∠N and ∠P.
3. Point of concurrence of these three angle bisectors is Incentre of the triangle.
4. In the figure below, incentre is shown by the point 'I'.