Shape 

Copyright David & Cynthia Thomas, 2009

 

Area of Triangles--Directed Activity: Lattice Triangles

 

Focus

Areas of lattice triangles

Technologies

Paper & pencil

Background

Lattice triangles are triangles whose vertices are integer coordinates in the lattice’s coordinate system.  Figure 2.2 shows triangles with integer coordinates of (0,0) (5,0) (2,3) (1,2) (5,1) (2,4) respectively.  Each cell of the lattice is defined to have an area of one square unit.

Figure 2.2: Area by Lattice Techniques

 

Tasks

Determine the area of each triangle using the lattice to facilitate computation.