In the rhombus ABCD, angle B = 60 degrees. Find the diagonal AC if the perimeter of the rhombus is 16 cm.

univerkov | September 18, 2021 | education

Since the lengths of all edges of a rhombus are equal, then AB = BC = CD = AD = P / 4 = 16/4 = 4 cm.

Then the triangle ABC is isosceles, and since one of its internal angles is 60, the triangle ABC is equilateral, then AC = AB = BC = 4 cm.

Answer: The length of the AC diagonal is 4 cm.

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