Question

P,Q,R are the mid point of sides of triangle ABC respectively. Find the ratio of perimeters of triangle PQR and triangle ABC

Answer 1

given that P,Q,R are mid point of triangle ABC

SO Now using mid point we get PQ= AB/2

QR= BC/2 , RP= CA/2


NOW perimeter of triangle ABC = SUM of sides

= AB+BC+CA units


perimeter of triangle PQR = AB/2+ BC/2+ CA/2

= (AB+BC+CA) /2
NOW RATIO OF there perimeter
= 1/2



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