Question

PQRS is a rhombus. (PR) = 30 cm. (QS) = 16 cm. Find (i) (PQ). (ii) The perimeter of rhombus PQRS.
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

(i) PQ = 17cm

(ii)Perimeter = 68cm

Step-by-step explanation:

$OS = QS/2 = 16/2 = 8cm\\\\OR = PR/2 = 30/2 = 15cm\\PQ^{2} = OS^{2} + OR^{2} \\\\PQ^{2} = 8^{2} + 15^{2} \\\\PQ^{2} = 64 - 225 = 289\\\\PQ = \sqrt{289} = 17cm\\\\Perimeter of rhombus = 4 X side\\\\PQ = 4 X 17 = 68cm$