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| Area of an Acute Triangle (Posted on 2025-04-02) |
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Let T be an acute triangle. The area of T is denoted by
A. If the length of each side of T is an odd prime number, show that A2 − 3/16 is an integer.
Mike Mettler reviews
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Comment 3 of 3 | 
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The structure of the area and the properties of odd primes ensure that <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msup><mi>A</mi><mn>2</mn></msup><mo>−</mo><mfrac><mn>3</mn><mn>16</mn></mfrac></mrow></semantics></math>A2−163 results in an integer, confirming the statement.tag game
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Posted by tag
on 2025-04-02 23:59:53 |
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