Respuesta :

mhanifa

Answer:

  • 9 cm

Step-by-step explanation:

The acute angle is opposite to the height.

Let the height be h and the acute angle α.

Sides of the rhombus are equal, so each side will measure:

  • P / 4 = 40/4 = 10 cm

The ratio of height to hypotenuse is sine:

  • sin α = h / 10

Work out the value of h:

  • h =
  • 10 sin α =
  • 10 √(1 - cos² α) =
  • 10 √(1 - 19/100) =
  • 10 √(81/100) =
  • 10 (9/10) =
  • 9 cm