coordinates of vertices a b and c are 1,2 3,6 -3,4 p q and r are midpoints - Maths - Areas Related to Circles

Question

coordinates of vertices a b and c are 1,2 3,6 -3,4 p q and r are
midpoints of ab ,bc and ca what is perimeter of pqr

Neha Sethi · Accepted Answer

Dear student
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Given : p,q and r are the mid points of AB,BC and CA respectively
Coordinates of mid point p is given by:=1+32,2+62=2,4Coordinates of mid point q is given by:=3+-32,6+42=0,5Coordinates of mid point r is given by:=1+-32,2+42=-1,3Now, distance between pq is given by:=0-22+5-42    Using distance formula =4+1=5 units
Now, distance between qr is given by:=-1-02+3-52     Using distance formula =1+4=5 unitsNow, distance between pr is given by:=-1-22+3-42    Using distance formula =9+1=10 unitsSo, perimeter of pqr is given by:=pq+qr+pr=5+5+10=25+10 units
Regards

coordinates of vertices a b and c are 1,2 3,6 -3,4 p q and r are midpoints of ab ,bc and ca what is perimeter of pqr