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Important Results Related to Parallelograms

The diagonals...

Question

The diagonals seg XZ and seg YW of the rhombus XYZW intersect at point P. If l(XP) = 8 cm, find l(XZ).

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Solution

In rhombus XYZW, XZ and YW intersect at point P; l(XP) = 8 cm
So, l(XP) = l (PZ) = 8 cm. (Diagonals of a rhombus bisect each other )
l(XZ) = l(XP) + l (PZ)
or l(XZ) = 8 cm + 8 cm
or l(XZ) = 16 cm
∴ Length of segment XZ is 16 cm.

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Important Results Related to Parallelograms

Standard VIII Mathematics

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