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in Quadrilaterals by (49.3k points)
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The diagonals of a rhombus are of lengths 16 cm and 12 cm. What is its perimeter?

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Best answer

In right angled AOB,

AO = 8 cm, BO = 6 cm, ∠AOB = 90°

AB2 = AO2 + BO2 = 82 + 62

= 64 + 36 = 100

Side, AB = \(\sqrt{100}\) = 10 cm

Perimeter = 4 × 10 = 40 cm.

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