Question

A circle is inscribed in a ∆ABC having sides  AB = 10 cm, BC = 12 cm and CA = 16 cm and  circle touches the sides AB, BC and AC of triangle  ABC at P, Q and R respectively. Find AP, BQ and  CR.​

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Asked on December 27, 2019 by

Prajwal Vanessa

In figure, a circle inscribed in triangle ABC touches its sides AB, BC and AC at points D, E and F respectively. If AB = 12 cm, BC=8 cm and AC=10 cm, then find the lengths of AD, BE and CF.

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ANSWER

We know that AD= AF

BD= BE

CE= CF

Let AD = AF= x

BD = BE = y

CE = CF = z

Then x+y=12

y+z=8

x+z=10

On Solving above equation we get x=7 , y=5 , z=3

So AD= 7 , BE= 5 , CF= 3