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In $ΔABC$ , X, Y and Z are midpoint of side AB, side BC and side AC respectively. $AB = 5 cm, AC = 9 cm$ and $BC = 11 cm$ . Then find XZ.

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2.7 cm

5.5 cm

8.3 cm

9.5 cm

answer is B.

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Detailed Solution

The line segment connecting the midpoints of two triangle sides is parallel to the third side and congruent to one half of the third side, according to the midpoint theorem.
Thus, in

ΔABC

, X and Z represent the intersection of AB and AC, while XZ represents half of BC.

∴ XZ = \frac{BC}{2}

∴ XZ = \frac{11}{2}

∴ XZ = 5.5 cm

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