Analytical Geometry

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i'm writing maths exam tomorrow , came across problem can't do...

p(-3;10) , q(3;4) vertices of triangle pqr. if angle @ q= 90* determine possible coordinates or r if qr= 4sqrt2 (sqrt32).

i've tried distance formula point on cartesian plane equation x's , y's cant do. understand there must 2 answers because line go or down on angle distance being equal.

answer in book r1=(1;2) , r2=(5;7)

oh , last exam mid year exam period :d
 

high school geometry...those days!

can find equation line perpendicular line qp , passes through q. should x + y = 1.

use distance formula, use relationship above eliminate x or y, solve!
 


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