Question
The perimeter of a rhombus is 20 cm. The length of one
of its diagonals is 6 cm. What is the length of the other diagonal?Solution
The perimeter of a rhombus = 20 cm ⇒ Perimeter = 4 × side = 20 ⇒ Side = 5 cm ⇒ Side = 1/2 √ (d1)2 + (d2)2 ⇒ 5 = 1/2 √ (d1)2 + (d2)2 ⇒ (d2)2 = 100 – 36 = 64 ⇒ d2 = 8 cm ∴ The length of the other diagonal is 8 cm
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