The incenter of triangle \(ABC\) is \(I\) and inradius is \(2\). What is the smallest possible value of \(AI+BI+CI\) ?
A triangle has base of length 8 and area 12. What is the radius of the largest circle
that can be inscribed in this triangle?
The least consecutive ten numbers, all greater than 10, are determined that are
respectively divisible by the numbers 1 through 10. Write down the smallest
number among these 10.
In trapezium ABCD,AD∣∣BC,AD<BC, unparallel sides are equal. A circle with
centre O is inscribed in the trapezium. OAD is equilateral. Find the radius of the
circle if the area of the trapezium is 3800