Question

for finding the incircle of a triangle ABC.
(i) Walking from two different vertices towards a neighboring vertex and then turning 90 degrees to walk to the incenter, and
(ii) Walking straight from two vertices along the angle bisectors to reach the incenter.

For both cases, do the following:

Explain how the values of the unknown quantities will be used to find the incenter and the radius of the incircle.

Answer 1

The diagrams are rough and may not be exact because they are made for understanding purpose only.

1 In first case the vertices and sides are given so we can apply the formula of incenter and calculate it.

And also using the another formula we can calculate the Inradius.

Note- This may help to solve first part of the question only and no the 2 one.