1.

Triangle ABC is circumscribed touching a circle at P,Q,R, If AP = 4 cm, BP = 6 cm, AC = 12 cm and BC = x cm, find the value of x

Answer» We can create a diagram with the given details.
Pleae refer to video for the diagram.
we know, length of tangents from any common point outside a circle are always equal.
`:. AP = AR = 4` cm
`BP = BQ = 6`
`CR = CQ`
We are given,`AC = 12` cm
`=>AR+CR = 12=> CR = 12-AR =>CR = 12-4 = 8` cm
Now, `BC = BQ+QC = 6+CR =>x= 6+8 = 14` cm


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