Question

The length of one side of a rhombus is 6.5cm and its altitude is 10 cm . if the length of one of the diagonals be 26cm , the length of the other diagonal is​

Answer 1

Answer:

We know that if all the sides of a parallelogram are equal, it is called a rhombus.

Area = Base × Height = 6.5 × 10 = 65 cm²

Let the diagonals of the rhombus be d1 and d2.

∴ Area =

1

d1d2

2

⇒ 65 =

1

× 26 × d2

2

⇒ d2 =

2 × 65

⇒ d2 = 5

2

Hence, other diagonal of rhombus = 5 cm.

Answer 2

Answer:

5 cm is length of other diagonal

Explanation:

area of rhombus = side x altitude

=6.5 x 10

=65

area of rhombus = 1/2 x D1 x D2

here D1 and D2 are diagonal of rhombus

65 = 1/2x 26 x D2

D2 = 5