Question

With the vertices of APQR as centres, three circles
are described, each touching the other two
externally. If the sides of the triangle are 7 cm,
8 cm and 11 cm, find the radii of the three circles.​

Answer 1

Sorry about earlier I misread question

Circles will touch on sides , radius is perpendicular to tangent

See picture

Now

x + y = 7

y + z = 8

z + x =11

Solve x = 5 , y = 2 , z = 6