Geometry

# If the perimeter 3x of an equilateral triangle is 48 how long is one side?

###### Wiki User

###### May 04, 2010 12:34PM

48 / 3 = **16**

## Related Questions

###### Asked in Math and Arithmetic

### What is the perimeter of a triangle that has a area of 6.5 cm?

The minimum perimeter is when the triangle is an equilateral
triangle. The perimeter of any other triangle with the same area
will be longer.
In the case of an equilateral triangle area = (√3)/4 × side²
→ side = √(4×6.5 cm²/√3)
→ perimeter = 3 × side = 3 × √(4×6.5 cm²/√3) ≈ 11.62 cm
→ The triangle has a perimeter greater than or equal to approx
11.62 cm.

###### Asked in Math and Arithmetic, Geometry

### What is the ratio of the length of a side of an equilateral triangle to its perimeter?

Length of a side of an equilateral triangle : Perimeter = 1 :
3
For example, if the length of the sides of an equilateral
triangle were 5cm each, then perimeter would be three times that
much - 15cm.
5 : 15 is the same as 1 : 3 when simplified. Length of a side of
an equilateral triangle : Perimeter = 1 : 3
For example, if the length of the sides of an equilateral
triangle were 5cm each, then perimeter would be three times that
much - 15cm.
5 : 15 is the same as 1 : 3 when simplified.

###### Asked in Math and Arithmetic, Algebra, Geometry

### What is the perimeter of an equilateral triangle with an altitude of 15?

An equilateral triangle has 3 equal interior angles each of 60
degrees. There are two right angled triangles in an equilateral
triangle. So we can use trigonometry to find the length of one side
of the equilateral triangle then multiply this by 3 to find its
perimeter. Hypotenuse (which is one side of the equilateral) =
15/sin 60 degrees = 17.32050808 17.32050808 x 3 = 51.96152423
Perimeter = 51.96152423 units.