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Find the length of a side of a rhombus whose di... - JAMB Mathematics 2021 Question

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

A

8cm

B

5cm

C

4cm

D

3cm

correct option: b

For a rhombus,

  • The diagonals bisect each other at right angles.
  • The diagonals divide into four congruent right-angled triangles.

Hence,  6cm splits into 3cm each and 8cm to 4cm each

Hypotenuse(hyp) = Adjacent(adj) + Opposite(opp)

hyp\(^2\) = adj\(^2\) + opp\(^2\)

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

hyp\(^2\) = 25

hyp = 5

Length (L) = 5cm since a rhombus is a quadrilateral with 4 equal lengths

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