# Centroids and Triangles - determining perimeter?

posted by .

Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of triangle ABC.

I drew the diagram, but it doesn't really help....

• AoPS -

Are you by any chance enrolled (or were enrolled) in AoPS Intro to Geometry course? Because I recognize all of the problems you post...

• Centroids and Triangles - determining perimeter? -

We have banned you from taking anymore AoPS. We can track your IP address.

• Centroids and Triangles - determining perimeter? -

what a chilly cow

## Similar Questions

1. ### Math

A pentagon is formed by putting together three identical equilateral triangles and one larger equilateral triangle with length of edge equal to 2 times that of the smaller equilateral triangle. If the perimeter of the smaller triangle …
2. ### Algebra

The perimeter of an equilateral triangle is 7 in. more than the perimeter of a square. The side of the triangle is 5 in. longer than the side of the square. Find the length of each side of the triangle. (Note: An equilateral triangle …
3. ### HELP!!!!RIGHT NOW!!!!

Which set of side lengths shows similar triangles?
4. ### Math

If triangle ABC is similar to triangle DEF and the perimeter of ABC is 4 times greater than the perimeter of DEF , what is the relationship between the areas of the triangles?
5. ### geometry

triangle abc is similar to def, the lengths of the sides of triangle abc is 5,8,11. what is the length of the shortest side of triangle def if its perimeter is 60?
6. ### Math

Which set of side lengths shows similar triangles?
7. ### geometry

The medial triangle of a triangle ABC is the triangle whose vertices are located at the midpoints of the sides AB, AC, and BC of triangle ABC. From an arbitrary point O that is not a vertex of triangle ABC, you may take it as a given …
8. ### Hard Geometry Problem

Hi guys. I need a lot of help on this. "Equilateral triangle ABC has centroid G. Triangle A'B'C' is the image of triangle ABC upon a dilation with center G and scale factor -2/3. Let K be the area of the region that is within both …
9. ### Geometry

Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if (triangle) …
10. ### Math

In the triangle ABC given, side AB is twice as long as side AC. We have: m<BAC=120° mBC= 8cm Determine rounded to the nearest unit, the perimeter of triangle ABC.

More Similar Questions