Question

In the given figure, if ABCD is a parallelogram, then find the value of p and q. If AO = 20 cm, OC = (q+7) cm, OB = (p+q) cm and OD = 16 cm.
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Answer 1

Answer:

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Step-by-step explanation:

Here, ABCD is a parallelogram and AC and BD are diagonals of parallelogram intersect each other at O.

OA=3cm and OD=2cm

We know that, diagonals of a parallelogram bisect each other.

∴ AO=OC and BO=OD

⇒ AC=2×OA=2×3cm=6cm

⇒ BD=2×OD=2×2cm=4cm

∴ The length of the diagonals AC and BD are 6cm and 4cm.

solution