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a standard yield sign is 20 inches on each side , what is the sign approximate area if it is an equilateral triangle

User Gelupa
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2 Answers

7 votes
the angles in an equilateral triangle are all 60 degrees
and the altitude will be obtained from the equation

tan 60 = a / 10 where a = altitude and 1/2 base of triangle = 1/2 * 20 = 10

a = 10 tan 60 = 10 sqrt3

so the area = 10* 10 sqrt3 = 100 sqrt3 in^2

or 173 in^2 to neraest in^2
User Arjen Stobbe
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4 votes
it is 6o inches all together because if you take 20 and add it three times because a triabgle has three sides then you will get 60
User Luke Halliwell
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