Question

Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal.

Answer 1

Solution:-

Area of the rhombus = Side × Length of the altitude
= $5\times 4.8$
= 24 ${cm}^2$
Now,
Let the length of the other diagonal = x
It is known that the area of a rhombus is half the product of its diagonals.
∴ $\frac{1}{2}$ × 8 × x = 24
⇒ 4x = 24
⇒ x = 6 cm
Hence, the length of the other diagonal is 6 cm.