Mensuration Q: Right Triangle, xy=a^2?

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In a right triangle with legs x and y and hypotenuse z, the altitude drawn to the hypotenuse is denoted as a. The options presented include various relationships involving x, y, and a. After analysis, it is determined that none of the provided equations accurately represent the relationship in this context. The correct conclusion is that the answer is "none of the above." Understanding the geometric relationships is crucial for solving such problems.
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Homework Statement


Choose the correct answer :
In a right angled triangle with sides x and y, hypotenuse z, the altitude drawn on the hypotenuse is a, then:

a) xy = a^2
b) 1/x+1/y = 1/a
c)x^2+y^2=2a^2
d)1/x^2+1/y^2=1/a^




Homework Equations



x^2+y^2=z^2

The Attempt at a Solution

 
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You need to draw the diagram, to show that you understand the question.

Correct answer is:

(e) none of the above
 
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