SOLUTION: if the height of an equilateral triangle is also a root of the equation y^4-3y^2-270, then the area of the triangle is, in cm3

Question 1106512: if the height of an equilateral triangle is also a root of the equation y^4-3y^2-270, then the area of the triangle is, in cm3
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
That's not an equation.
I can tell, there's no equal sign.

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

or .

Obviously we need to choose the positive real root.

So the height of the equilateral triangle is .

The altitude of the equilateral triangle divides the triangle into two 30-60-90 right triangles. So the length of one-half the base is .

Then the area of the triangle is one-half base times height:

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