the perimeter of the rhombus is 20 cm and the altitude is 4.8cm. if the length of one diagonal 6cm, find the length of the other diagonal.
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The perimeter of a rhombus is 20 cm and one of its diagonal is 6 cm long. What is the length of the other diagonal?
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The perimeter of the rhombus = 20 cm.
Each side of the rhombus = 20/4 = 5 cm.
One diagonal, d1, of the rhombus = 6 cm.
Half the diagonal = d1/2 = 6/2 = 3 cm.
The other leg of the right angled triangle, d2/2 = [6^2–3^2]^0.5 = [36–9]^0.5 = 25^0.5 = 5 cm.
The other diagonal, d2 = 5*2 = 10 cm.
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