To prove: that the sum of the distance from P to the four vertices

Answer to Problem 25RP
Explanation of Solution
Given:
P is any points inside the quadrilateral
Calculation:
According to the question, P is any points inside the quadrilateral
Case 1: P is not on either diagonal.
Now, the pictorial representation for this case is:
Case 2: P is on one diagonal.
Now, the pictorial representation for this case is:
Case 3: P is on both diagonals.
Now, the pictorial representation for this case is:
Thus,
Hence, from both the case, it is proved that four vertices
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