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yaroslaw [1]
2 years ago
15

*100 points* What is the area of the parallelogram?

Mathematics
2 answers:
anzhelika [568]2 years ago
8 0

Answer:

12\sqrt{3} cm ^{2}

Step-by-step explanation:

'To determine the area of the parallelogram, you need the value of h so that you can compute A = b * h

sin(A) = opposite / hypotenuse = h / a

This means that you can compute h like this:

h = sin(A) * a

Your area is...

A = b * h = sin(A) * a * h'

Now, you can fill in the numbers for the variables and result to your answer.

Another short way to find you answer is to use a very similar equation...

A = (h) * (a) * sin(A)

A = (4) * (6) * sin(60°)

A = 24sin(60°)

A = 24 * (\sqrt{3} / 2)

A = 12\sqrt{3} cm^{2}

amm18122 years ago
4 0
  • SinØ=Perpendicular/Hypotenuse

So

Opposite angles of a parallelogram are equal

Here

Height of parallelogram:-

  • 4sin60°

Now

Area

  • Base×Height
  • 6×4sin60
  • 24sin60
  • 24(√3/2)
  • 12√3cm²
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