Posted by **Lizii** on Wednesday, December 29, 2010 at 8:42pm.

In equilateral triangle ABC, AB=3x and BC=2x+12. Find the numerical value of the perimeter of triangle ABC.

- Geometry -
**Jen**, Wednesday, December 29, 2010 at 8:51pm
Since it's an equilateral triangle, AB=BC. 3x=2x+12, solve for x.

- Geometry -
**Sudheer Edurite**, Thursday, December 30, 2010 at 12:59am
In an Equilateral triangle, all 3 sides are equal.

Therefore AB = BC = CA

So, 3x = 2x + 12

Subtract 2x from both sides of the equation

3x - 2x = 2x + 12 - 2x

x = 12

Therefore AB = 3x = 3 x 12 = 36

Perimeter = AB + BC + CA = 3AB = 3 x 36 = 108

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