if the diagonal of a parallelogram are 12 cm and 16 cm find the length of each segment of a diagonal into which they are divided straight the property of parallelogram used
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Answer: 6cm, 8cm
Step-by-step explanation:
Length of each segments of the diagonal are 6cm , 8 cm espectively.
Property Used : Diagonals of a parallelogram bisect each other.
Proof :
Let ABCD be a parallelogram ,where AC and BD are diagonals, intersecting at point O.
AIO : Alternate interior angles
In Δ AOD & ΔBOC,
AD = BC ( Opp. Sides of parallelogram)
Since, corresponding parts of congruent triangles are same.
AO = CO and OD = OB
Hence, we can say diagonals of a parallelogram bisect each other.
Step-by-step explanation:
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