In the adjoining △ABC, points X, Y and Z are the midpoints of sides AB, BC and AC respectively. If AB = 5, BC = 11 and AC = 9, then the perimeter of △XYZ = ________
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ANSWER = 12.5 cm
EXPLANATION
Since X,Y and Z are midpoints of sides AB, BC and AC respectively
Measure of X = 1/2*AB = 1/2* 5 = 2.5 cm
Measure of Y = 1/2*BC = 1/2*11 = 5.5 cm
Measure of Z = 1/2* AC = 1/2*9 = 4.5 cm
Perimeter of XYZ = ( 2.5 + 5.5 + 4.5 ) cm = 12.5 cm
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