The side of the rhombus is equal, the acute angle is 60 degrees. Find the radius of the inscribed circle.

univerkov | September 14, 2021 | education

Determine the area of the parallelogram through the sides and the angle between them.

Savsd = AB * AD * Sin60 = 34 * √3 * 34 * √3 * √3 / 2 = 1734 * √3 cm2.

Also Savsd = AD * OH / 2.

OH = 2 * Savsd / AD = 2 * 1734 * √3 / 34 * √3 = 51 cm

Answer: The radius of the inscribed circle is 51 cm.

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