# What Triangles Are in the Triangle?

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Consider the triangular grid formed by dividing one equilateral triangle into a grid of equilateral subtriangles in such a way that there are in the base. We want to know which and how many subtriangles there are within this grid. It is a very interesting exercise, involving discrete mathematics tools, to derive the formula for the total number, which is .

Contributed by: Jaime Rangel-Mondragon (August 2012)

Open content licensed under CC BY-NC-SA

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"What Triangles Are in the Triangle?"

http://demonstrations.wolfram.com/WhatTrianglesAreInTheTriangle/

Wolfram Demonstrations Project

Published: August 6 2012