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

A.

8cm

B.

5cm

C.

4cm

D.

3cm

Correct answer is B

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