The sum of the diagonals of the rhombus is 70 cm, and its perimeter is 100 cm. Find the diagonals of the rhombus.

univerkov | December 16, 2020 | education

Consider a rhombus of the ABСD, consisting of triangles: ABO, BOС, AOD, СOD. Consider the tracks ABO and BОС – they are equal. AB; BС hypotenuse ==> AO = OС = 10 (the leg is half of the hypotenuse) ==> AC = 10 * 2 = 20cm Because the sum of the diagonals is 70cm by the condition ==> BD = 70-20 = 50cm
Answer: 20; 50

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