Find the length of a side of a rhombus whose diagonals are 6cm and 8cm
A
8cm
B
5cm
C
4cm
D
3cm
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: WAEC / JAMB / NECO Classroom Archive (Record #60690)