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The area and a diagonal of a rhombus are 60 cm ... - WAEC Mathematics 1993 Question

The area and a diagonal of a rhombus are 60 cm $^{2}$ and 12 cm respectively. Calculate the length of the other diagonal.

A

5cm

B

6cm

C

10cm

D

12cm

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Correct Option: C

Area of rhombus = $\frac{p q}{2}$

where p and q are the two diagonals of the rhombus.

$∴ 60 = \frac{12 \times q}{2}$

6q = 60 $⟹$ q = 10 cm

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