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In the adjoining figure, points X, Y, Z are the midpoints of  ∆ABC respectively, cm. Find the lengths of side AB, side BC and side AC AB = 5 cm, AC = 9 cm and BC = 11c.m. Find the lengths of XY, YZ, XZ.

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i. AC = 9 cm [Given] 

Points X and Y are the midpoints of sides AB and BC respectively. [Given] 

∴ XY = (1/2) AC [Midpoint tfyeprem] 

= (1/2) x 9 = 4.5 cm 

ii. AB = 5 cm [Given]

Points Y and Z are the midpoints of sides BC and AC respectively. [Given] 

∴ YZ = (1/2) AB [Midpoint theorem] 

= (1/2) x 5 = 2.5 cm 

iii. BC = 11 cm [Given] 

Points X and Z are the midpoints of sides AB and AC respectively. [Given] 

∴ XZ = (1/2) BC [Midpoint theorem] 

= (1/2) x 11 = 5.5 cm 

l(XY) = 4.5 cm, l(YZ) = 2.5 cm, l(XZ) = 5.5 cm

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