in fig SAFE is a Rhombus OA=12cm OF =9cm find x y and z
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Step-by-step explanation:
In a rhombus, diagonals are perpendicular to each other and bisect each other.
∴BO=OD=12cm
∴y=12cm
and
CO=OA=5cm
∴x=5cm
Since BC
2
=CO
2
+BO
2
, by substituting values we get:
BC
2
=(12)
2
+(5)
2
⇒BC=
169
⇒BC=13cm
Since all sides are equal, BC=CD
∴z=13cm
Hence, the value of x is 5cm and the value of z is 13cm.
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