passpadi

2021

Mathematics

JAMB

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

A.

8 cm

B.

5 cm

C.

4 cm

D.

3 cm

Correct Answer: 5 cm

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 6 cm into 3 cm each AND 8 cm to 4 cm Using Hyp2 = adj2 + opp2 . Hyp2 = 32 + 42 Hyp2 = 25 Hyp = 5 ∴ Length (L) is 5 cm because a rhombus is a quadrilateral with 4 equal lengths

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 6 cm into 3 cm each AND 8 cm to 4 cm Using Hyp2 = adj2 + opp2 . Hyp2 = 32 + 42 Hyp2 = 25 Hyp = 5 ∴ Length (L) is 5 cm because a rhombus is a quadrilateral with 4 equal lengths
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