Question

A tangent of 12cm drawn to.A circle of radius 5cm from a point p away from the centre find the distance of p from the centre

Answer 1

Given: r = 5cm,

           length of tangent=12cm

To find : length of p

      Sol: always tangent and radius

              are in 90°

               So, triangle ABC is a right

               angled triangle

              By phytagorous theorem,

              AB^2 + AC^2 = CB^2

               12^2 + 5^2 = CB^2

               144  +  25 = CB^2

               169 = CB^2

                13 = CB

THUS, the length of people is 13 cm

Hope this helps !!❤