Let a and b be the lengths of the two legs of a right triangle and let c be the length of the hypotenuse. The Pythagorean Theorem states that a^2 + b^2 = c^2.
If the reciprocals of the legs are used instead to form 1/a^2 + 1/b^2 = 1/x^2, then what is special about x?
In the scenario you described,
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>x</mi></mrow><annotation encoding="application/x-tex">x</annotation></semantics></math>x represents the
harmonic mean of the lengths of the legs
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>a</mi></mrow><annotation encoding="application/x-tex">a</annotation></semantics></math>a and
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>b</mi></mrow><annotation encoding="application/x-tex">b</annotation></semantics></math>b of the right triangle.
miniblox
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Posted by Gwen
on 2024-11-12 03:15:05 |
No Subject
