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  • 24-02-2021
  • Mathematics
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The altitude of an equilateral triangle is 9. Calculate the length of each side of the equilateral triangle. Leave your answer in simple radical form

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Аноним Аноним
  • 24-02-2021

Answer:

Think of the altitude as a line that divides the equilateral triangle into two equal parts.

Each part is a 30, 60, 90 triangle. The altitude of the triangle corresponds to the x[tex]\sqrt{3\\}[/tex] side of the equilateral triangle.

So: 9=x[tex]\sqrt{3\\}[/tex] , and x=9/[tex]\sqrt{3\\}[/tex].

However, one side of the triangle is actually 2x, so the correct answer is

18/[tex]\sqrt{3\\}[/tex]

Let me know if this helps!

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