Respuesta :

mhanifa

Answer:

  • 10 and 15 units

Step-by-step explanation:

Given:

  • d₁ = 17
  • d₂ = 19
  • a = 2x
  • b = 3x

Use the relationship between diagonals and sides of the parallelogram:

  • d₁² + d₂² = 2(a² + b²)

Substitute and solve for x:

  • 17² + 19² = 2((2x)² + (3x)²)
  • 650 = 2(4x² + 9x²)
  • 325 = 13x²
  • x² = 325/13
  • x² = 25
  • x = 5

Find the sides:

  • a = 2x = 2*5 = 10
  • b = 3x = 3*5 = 15