In right angled , and . The incircle of touches sides and at points and respectively. Let be the midpoint of . are the feet of perpendiculars from on respectively. Let . Find .
Details and assumptions
denotes the greatest integer function, i.e. it is the greatest integer not exceeding . For example,
Once you find the exact form of , you might use a calculator to proceed.
The last digit of the answer that is being accepted is . If your answer slightly differs from the intended one because of approximation errors, you should enter the closest integer whose last digit is .
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