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3 years ago

What is the area of the parallelogram? 48 sqrt3 cm^2 48 cm^2 24 sqrt3 cm^2 24 cm^2

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

3 0

The area of a parallelogram is base times height.

We can find the height by deriving a right triangle from the 60 degree angle and the 6 cm hypotenuse

sin(60°) = opp/hyp = x/6
√3/2 = x/6 Multiply both sides by 6
3√3 = x
x = 3√3

The height is 3 √3

Area = base x height
Area = 3√3 * 8
Area = 24 √3 cm²

Answer is C) 24 √3 cm²

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Step-by-step explanation:

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