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If $A$ be the area of a right angled triangle and $b$ be one of the sides containing the right angle, then the length of altitude on the hypotenuse is :

  1. $\frac{2Ab}{\sqrt{4b^{4}+A^{2}}}$
  2. $\frac{Ab}{\sqrt{b^{4}+4A^{2}}}$
  3. $\frac{2Ab}{\sqrt{b^{4}+4A^{2}}}$
  4. $\frac{Ab}{\sqrt{4b^{4}+A^{2}}}$
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