Answer:
Step-by-step explanation:
Given:
- d₁ = 10 cm
- d₂ = 12 cm
- a = 9 cm
- b = ?
We know that the sum of squares of diagonals of the parallelogram is equal to twice the sum of the squares of the sides:
Substitute the values and solve for b:
- 10² + 12² = 2(9² + b²)
- 100 + 144 = 2(81 + b²)
- 122 = 81 + b²
- b² = 41
- b = √41
- b = 6.4 cm
