dmdalton071 dmdalton071
  • 21-11-2021
  • Mathematics
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An equilateral triangle has a height of 32. Find the length of the sides of the triangle. Round to the nearest hundreth.

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swichherddhhhh swichherddhhhh
  • 21-11-2021

Answer: 36.95

Step-by-step explanation:

Because its an equilateral triangle, each side is equal. We can split the equilateral into a 30-60-90 triangle. The base is x, the height is x[tex]\sqrt{3}[/tex] and the hypotenuse is 2x.

32/[tex]\sqrt{3}[/tex] = 18.4752086

So the height is equal to:

x = 18.4752086

18.4752086[tex]\sqrt{3}[/tex]

Since the hypotenuse is 2x, we can calculate that with:

2x

= 2(18.4752086)

= 36.9504172

The length of each side is 36.95

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