Question

PQR IS A RIGHT ANGLED AT Q .PQ=5CM,QR=12CM.A CIRCLE IS INSCRIBED IN TRIANGLE PQR .FIND THE RADIUS OF CIRCLE.

Answer 1

hope it helps you.......

Answer 2

THE RADIUS OF CIRCLE IS 6.5 CM or 13/2 CM.

Step-by-step explanation:

Given:

As shown in the figure below, PQ=5CM, QR=12CM

In triangle PQR,

$PR^2= PQ^2 +QR^2$

      =$(5)^2+(12)^2$

       =25+144

       =169

$PR=\sqrt{169}$  

       =13 cm

Also, PR=Diameter      [PQR IS A RIGHT ANGLED AT Q]

Radius=$\frac{Diameter}{2}$

           =$\frac{13}{2}$

Radius=$6.5 CM$.