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Saturday, 18 February 2012

Case of a triangle sides of length 13,14 and 15

Let me bring to the notice of readers a property found by me.
Consider a triangle formed with sides of length 13,14 and 15 units.
Suppose you draw an altitude line on the side having length 14 units from the opposite vertex. Will you be able to visualise what its length will be.You will be surprised to know that it will be of length 12 units.This is perhaps the only such case involving lengths of 4 consecutive units in the form of 3 sides and one altitude.

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