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The Yield sign has a shape of an equilateral triangle with side length of 36 inches. What is the height of the sign? Will a rectangular metal sheet of 36  32 inches be big enough to make one sign?

a.

The Yield sign is about 31.2 inches tall. So the rectangular metal sheet will be big enough to make one sign.

b.

The Yield sign is about 25.5 inches tall. So the rectangular metal sheet will be big enough to make one sign.

c.

The Yield sign is about 33.7 inches tall. So the rectangular metal sheet will not be big enough to make one sign.

d.

The Yield sign is about 50.9 inches tall. So the rectangular metal sheet will not be big enough to make one sign.

 Jan 26, 2017
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Area=Base x Height / 2

Sqrt(3) / 4 x S^2 =Base x Height /2

Sqrt(3) / 2 x 36^2 =36 x Height. divide both sides by 36

Sqrt(3) / 2 x 36 =Height

Height =Sqrt(3) x 36/2 =31.2 inches. Or "a"

 Jan 26, 2017

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