Correct Answer - Option 3 : 12 cm
Given:
Lengths of one diagonals is 16 cm
The side of rhombus is 10 cm
Formula used/Concept Used:
Diagonals of rhombus bisect each other at 90°
Side of rhombus = √(D1/2)2 + (D2/2)2
Calculation:
Lengths of one diagonals is 16 cm and the side of rhombus is 10 cm
Let the length of another diagonal of rhombus is x cm
By using the formula
∴ 10 = √(x/2)2 + (16/2)2
⇒ 10 = √(x/2)2 + (8)2
⇒ 100 = (x/2)2 + 64
⇒ x2 = 36 × 4
⇒ x = 12 cm
∴ The length of another diagonal is 12 cm
