An equilateral triangle has an altitude length of 33 feet. Determine the length of a side of the triangle.

Respuesta :

Answer:

38.11 feet

Step-by-step explanation:

all three corners of an equilateral triangle are 60°

sin 60° = 33/x

0.8660 =33/x

x = 38.11 feet

Relation between the side and the altitude of the equilateral triangle can be given as,

[tex]a=\dfrac{2}{\sqrt{3} } h[/tex]

The length of the side of the equilateral triangle is 38.105 feet.

What is equilateral triangle?

When all the three sides and all the three angle of a triangle are equal, then the triangle is known as Equilateral triangle.  

Relation between the side and the altitude of the equilateral triangle can be given as,

[tex]a=\dfrac{2}{\sqrt{3} } h[/tex]

Here, [tex]a[/tex] is the side of the equilateral triangle and h is the altitude of the equilateral triangle

Given information-

Altitude of the equilateral triangle is 33 feet.

Put the value of altitude in above formula to find the length of the side of the equilateral triangle. Thus,

[tex]a=\dfrac{2}{\sqrt{3} } \times33\\a=38.105[/tex]

Thus the length of the side of the equilateral triangle is 38.105 feet.

Learn more about the equilateral triangle here;

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