GhostMontage GhostMontage
  • 17-02-2021
  • Mathematics
contestada

Construct a parallelogram whose diagonals
are 5.4 cm and 6.2 cm and an angle between
them is 70°.​

Respuesta :

adefunkeadewole adefunkeadewole
  • 22-02-2021

Answer:

15.73 cm²

Step-by-step explanation:

Construct a parallelogram whose diagonals are 5.4 cm and 6.2 cm and an angle between them is 70°.​

To construct the parallelogram, we find the Area of the parallelogram.

Area of a parallelogram = ½ × d1 × d2 × sin (y)

Where

d1 = Diagonal 1 = 5.4 cm

d2 = Diagonal 2 = 6.2 cm

y = Angle between them = 70°

Area of the parallelogram =

1/2 × 5.4 × 6.2 × sin 70

= 15.730454472 cm²

Approximately = 15.73 cm²

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