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Find the length of a side of a rhombus whose diagonals are 6cm and 8cm

Mathematics
JAMB 1990

Find the length of a side of a rhombus whose diagonals are 6cm and 8cm

  • A. 8cm
  • B. 5cm
  • C. 4cm
  • D. 3cm
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Correct Answer: Option B
Explanation

The diagonal of a rhombus is a line segment that joins any two non-adjacent vertices.

A rhombus has two diagonals that bisect each other at right angles.

i.e this splits 6cm into 3cm each AND 8cm to 4cm

Using Hyp\(^2\) = adj\(^2\) + opp\(^2\)

Hyp\(^2\) = 3\(^2\) + 4\(^2\)

Hyp\(^2\) = 25

Hyp = 5

∴ Length (L) is 5cm because a rhombus is a quadrilateral with 4 equal lengths

 


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