The sides AB,BC,CA of triangle ABC touch a circle with centre o and radius r at P,Q,R respectively.Prove that

(1) AB+CQ= AC+BQ

(2) Area (triangle ABC) = 1/2 (perimeter of triangle ABC) x r (radius)

Question

The sides AB,BC,CA of triangle ABC touch a circle with centre o
and radius r at P,Q,R respectively Prove that
(1) AB+CQ= AC+BQ
(2) Area (triangle ABC) = 1/2 (perimeter of triangle ABC) x r
(radius)

Manmeet Singh · Accepted Answer

Here is the link for answer to your query

https://www meritnation
com/ask-answer/question/a-cirlce-is-inscribed-in-a-triangle-abc-with-p-r-q-as-th/circles/4100153

The sides AB,BC,CA of triangle ABC touch a circle with centre o and radius r at P,Q,R respectively.Prove that (1) AB+CQ= AC+BQ (2) Area (triangle ABC) = 1/2 (perimeter of triangle ABC) x r (radius)

The sides AB,BC,CA of triangle ABC touch a circle with centre o and radius r at P,Q,R respectively.Prove that

(1) AB+CQ= AC+BQ

(2) Area (triangle ABC) = 1/2 (perimeter of triangle ABC) x r (radius)