If the length of each side of a rhombus is 8 cm and its one angle is 60 degree, The length of the diagonals of a rhombus is:

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8 \sqrt{3}

5 \sqrt{3}

7 \sqrt{3}

3 \sqrt{3}

answer is A.

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Detailed Solution

Concept- A rhombus is a flat form with four parallel straight sides. A rhombus is similar to a diamond. The weight of the sides is comparable. The opposing sides of the parallelogram are parallel, and the opposite angles are comparable. The difference between two sides at right angles is defined as altitude.
We'll use trigonometric ratios to get the sides of the triangles, and then Pythagoras' theorem to figure out the length of the diagonals.
Question Image

Given, the quadrilateral is a rhombus with a side length of 8 cm and a single angle of 60 degrees.
The diagonal is known to operate as the angle bisector for rhombuses.
So,

, will be bisected.
As,

Now, consider the triangle