Question

The side of a rhombus is 5 cm,if one diagonal is 8 cm,find the length of another diagonal.​

Answer 1

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 =8 cm.

2

1

of the diagonal =

2

8

=4 cm

∴a

2

+b

2

=c

2

⇒a

2

+4

2

=5

2

⇒a

2

−25=16

⇒a

2

=9

⇒a=

9

⇒a=3.

Length of the diagonal

2

1

of the diagonal =3 cm

the diagonal =3×2=6 cm

∴ The length of the other diagonal is 6 cm.