If ABCD is a parallelogram whose diagonals intersect at O and ΔBCD is an equilateral triangle having each side of length 6 cm, then the length of diagonal AC is ____ .
A
3√3cm
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B
6√3cm
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C
3√6cm
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D
12cm
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Solution
The correct option is B6√3cm
ABCD is a parallelogram.
∴BC=AD=6cm
and AB=DC=6cm,
Triangle BCD is equilateral triangle
then BD=6cm
Hence ABCD becomes a rhombus.
∴ Diagonals AC and BD bisect each other at right angle.