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One diagonal of a rhombus makes an angle of 27° with a side of the rhombus. If each side of the rhombus has a length of 6.2 inches, find the length of each diagonal.

Answer :

Final answer:

A rhombus is a quadrilateral with all sides of equal length and its diagonals are perpendicular bisectors of each other.


Explanation:

A rhombus is a quadrilateral with all sides of equal length. In a rhombus, the diagonals are perpendicular bisectors of each other, meaning they divide each other into two equal parts. Since one diagonal makes an angle of 27° with a side of the rhombus, the other diagonal would make a 90° angle with the same side.



Let's use the Pythagorean theorem to find the length of the other diagonal. The side length of the rhombus is 6.2 inches. Using the side length and the angle, we can find the length of the other diagonal as follows:




  1. Find the length of the perpendicular side of the triangle formed by the diagonal, the side of the rhombus, and the other diagonal.

  2. Use the Pythagorean theorem to find the length of the other diagonal.



After the calculations, the length of each diagonal is approximately 12.27 inches.


Learn more about Rhombus Diagonals here:

https://brainly.com/question/4165249


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