aroub
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.
Delete
Share
This Question is Closed
hartnn
Best Response
You've already chosen the best response.
1
any ideas ?
hartnn
Best Response
You've already chosen the best response.
1
after solving u get a CIRCLE
aroub
Best Response
You've already chosen the best response.
1
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?
hartnn
Best Response
You've already chosen the best response.
1
and we can use exactly the same diagram we used in last question
hartnn
Best Response
You've already chosen the best response.
1
here, just the condition is different
aroub
Best Response
You've already chosen the best response.
1
Yeah, but don't use it please!
hartnn
Best Response
You've already chosen the best response.
1
gues which theorem we gonna use when its given 'a right triangle' ?
hartnn
Best Response
You've already chosen the best response.
1
*guess
aroub
Best Response
You've already chosen the best response.
1
I always think of Pythagorean when it comes to right triangles
hartnn
Best Response
You've already chosen the best response.
1
that is absolutely correct!
aroub
Best Response
You've already chosen the best response.
1
But what does this theorem got to do with the locus?
hartnn
Best Response
You've already chosen the best response.
1
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.
aroub
Best Response
You've already chosen the best response.
1
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 =)
hartnn
Best Response
You've already chosen the best response.
1
*
\(\\~ \large (x-h)^2+(y-k)^2=a^2\)
hartnn
Best Response
You've already chosen the best response.
1
question left ...
aroub
Best Response
You've already chosen the best response.
1
In the end it's circle right?
hartnn
Best Response
You've already chosen the best response.
1
absolutely!