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