In the given figure, a circle with centre \( \mathrm{O} \) is inscribed in a \( \triangle \mathr... VIDEO
In the given figure, a circle with centre \( \mathrm{O} \) is inscribed in a \( \triangle \mathrm{PQR} \), such that it touches the sides \( \mathrm{PQ} \), \( \mathrm{QR} \) and \( \mathrm{RP} \) at points \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) respectively. The lengths of sides \( \mathrm{PQ}, \mathrm{QR} \) and \( \mathrm{RP} \) are \( 12 \mathrm{~cm}, 8 \mathrm{~cm} \) and \( 10 \mathrm{~cm} \) respectively.
Find the length of RC.
a. 7
b. 4
c. 3
d. 2
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