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].
