Given p(0,k), q(h,0), r(-h,0) price triangle pqr is isosceles

Question

Given p(0,k), q(h,0), r(-h,0) prove triangle pqr is isosceles

 

Answer 1

length(pq) =√(h² + k² )

 

length(qr) =√(h+h)² = √(2h)² = √4h²  = 2h

 

length(rp) =√(h² +k² )

 

As pq =rp

 

so triangle pqr is isosceles