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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
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Correct Answer: Option D
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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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts