The diagonals of a rhombus are 16 cm and 12 cm find the length of

MATHEMATICS
WAEC 2023

The diagonals of a rhombus are 16 cm and 12 cm find the length of the side.

  • A. 20cm
  • C. 8cm
  • C. 14cm
  • D. 10cm

Correct Answer: D. 10cm

Explanation

In a rhombus, the diagonals are perpendicular bisectors of each other, and they bisect the angles of the rhombus. This means that a rhombus is essentially made up of four congruent right-angled triangles.

We can use the Pythagorean theorem to find the length of one side of the rhombus (s)

\(s^2 = 8^2 + 6^2\)

\(s^2 = 64 + 36\)

\(s^2 = 100\)

s = \(\sqrt{100}\)

s =10 cm

So, the length of each side of the rhombus is 10 cm.



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