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Given a triangle ABC that is right-angled at point A .The hypotenuse BC is fixed while A varies. Find the locus of point A.

Mathematics
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any ideas ?
after solving u get a CIRCLE
No, this one no idea at all!! Lol, I was about to say not circle.. Umm, how? They didn't say at a given distance or a given point, right?

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Other answers:

and we can use exactly the same diagram we used in last question
here, just the condition is different
Yeah, but don't use it please!
gues which theorem we gonna use when its given 'a right triangle' ?
*guess
I always think of Pythagorean when it comes to right triangles
that is absolutely correct!
But what does this theorem got to do with the locus?
using pythagoras theorem and distance formula , we get the equation of locus in the form , \(x^2+y^2=a^2\) which is the equation of circle.
please please don't use them here.. because they're more confusing! And I never took them. Do you have any other way? If not.. Just leave this question aside =)
* \(\\~ \large (x-h)^2+(y-k)^2=a^2\)
question left ...
In the end it's circle right?
absolutely!

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