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Two Circles Touching Internally and Externally

A circle is i...

Question

A circle is inscribed in a $△ A B C$ touching $A B, B C$ and $A C$ at $P, Q$ and $R$ respectively. If $A B = 10 c m$ $A R = 7 c m$ and $C R = 5 c m$ , then find the length of $B C$

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Solution

As per given information we have drawn the figure below.

Here a circle is inscribed in a $△ A B C$ touching $A B$ , $B C$ and $A C$ at $P, Q$ and $R$ respectively.

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