Question

ABCD is a rhombus. If AB = 5 cm and one of the diagonals is 6 cm long, find the length of the other diagonal.

Answer 1

Answer:

the other diagonal is also 6 because all sides are equal in a rhombus

Answer 2

Answer:

The diagonals of a rhombus intersect at the right angle.

half of each diagonal and the length of the side will form as a right-angle triangle.

Diagonal =6 cm.

2

1

of the diagonal =

2

6

=3 cm

∴a

2

+b

2

=c

2

⇒a

2

+3

2

=5

2

⇒a

2

−25= 9

⇒a

2

=16

⇒a=

4

⇒a=4

Length of the diagonal

2

1

of the diagonal =4 cm

the diagonal =4×2=8 cm

∴ The length of the other diagonal is 8 cm