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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