Answer:
The side length of an equilateral triangle whose side length is approximately 4.3 centimeters.
Step-by-step explanation:
By Geometry, we know that each internal angle in equilateral triangles equals 60º. Trigonometrically speaking, we remember that length of the altitude of an equilateral triangle ([tex]h[/tex]), in centimeters, is:
[tex]h = l\cdot \sin 60^{\circ}[/tex] (1)
Where [tex]l[/tex] is the side length, in centimeters.
If we know that [tex]l = 5\,cm[/tex] and [tex]\sin 60^{\circ} = \frac{\sqrt{3}}{2}[/tex], then the height of the equilateral triangle is:
[tex]h \approx 4.3\,cm[/tex]
The side length of an equilateral triangle whose side length is approximately 4.3 centimeters.
