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What is the height, x, of the equilateral triangle?

What Is The Height X Of The Equilateral Triangle class=

Sagot :

Given:

The figure of an equilateral triangle with side length 14 in.

To find:

The height x of the equilateral triangle.

Solution:

We know that the height of an equilateral triangle is:

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

Where, a is the length of side of the equilateral triangle.

It is given that the height of the triangle is [tex]x[/tex].

Putting [tex]a=14,h=x[/tex] in the above formula, we get

[tex]x=\dfrac{\sqrt{3}}{2}(14)[/tex]

[tex]x=\sqrt{3}(7)[/tex]

[tex]x=7\sqrt{3}[/tex]

Therefore, the height of the triangle is [tex]x=7\sqrt{3}[/tex].

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