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Tju [1.3M]
3 years ago
5

The length of each side of a rhombus is 10 and the measure of an angle of the rhombus is 60. Find the length of the longer diago

nal of the rhombus.
Mathematics
1 answer:
Svetllana [295]3 years ago
4 0
The diagonals of a rhombus are perpendicular bisectors of each other, and are also angle bisectors. The 4 congruent right triangles the rhombus is cut into by the two diagonals are 30-60-90 degree triangles, the longer leg is √3/2 of the hypotenuse, √3/2 of 10=5√3. so the longer diagonal is twice of 5√3=10√3 
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I am showing the complete work to find the solutions of this equation , it will help you to find an answer of your question based on this solution.

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