How many Diagonals?
A polygon has 1325 diagonals. How many vertices does it have?
Answer:
The formula to find number of diagonals (D) given total number of vertices or sides (N) is D = N * (N - 3)/2. Using the formula, we get 1325 * 2 = N * (N - 3).
N**2 - 3N - 2650 = 0. Solving the quadratic equation, we get N = 53 or -50. It is obvious that answer is 53 as number of vertices can not be negative. Q.E.D.
Answer:
The formula to find number of diagonals (D) given total number of vertices or sides (N) is D = N * (N - 3)/2. Using the formula, we get 1325 * 2 = N * (N - 3).
N**2 - 3N - 2650 = 0. Solving the quadratic equation, we get N = 53 or -50. It is obvious that answer is 53 as number of vertices can not be negative. Q.E.D.
posted by padmaram at 11:45 AM
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