Question

The area of a rhombus is 98 cm². If one of its diagonals is 14 cm, what is the length of the other diagonal?

Answer 1

Given: Area of rhombus = 98 cm², one diagonal d₁ = 14 cm.

Step-wise calculation:

Use the rhombus area formula Area = `(d_1 xx d_2)/2`.

1. Area = `(d_1 xx d_2)/2`

2. `98 = (14 xx d_2)/2`

3. Multiply both sides by 2:

196 = 14 × d₂

4. Divide by 14:

`d_2 = 196/14`

= 14 cm

The other diagonal is 14 cm.