question_answer

In aright triangle with sides\[x\] and y, hypotenuse z, the altitude drawn on the hypotenuse is a, then

A)  \[xy={{a}^{2}}\]               

B)        \[\frac{1}{x}+\frac{1}{y}=\frac{1}{a}\]

C)  \[{{x}^{2}}+{{y}^{2}}=2{{a}^{2}}\]     

D)         \[\frac{1}{{{x}^{2}}}+\frac{1}{{{y}^{2}}}=\frac{1}{{{a}^{2}}}\]