Answer:
triangle C has the largest area.
Step-by-step explanation:
From the the three triangles A, B, C based on the area occupied by the triangles, it can be seen that triangle C occupies the largest area.
On the centimetre grid, let each box represent one unit. For triangle A, the base is 2 boxes (i.e 2 units) and the height is 3 units, For triangle B, the base is 2 units and the height is 3 units while for triangle C, the base is 3 units and the height is 3 unit. The area of a triangle is given by:
Area = [tex]\frac{1}{2}base*height[/tex]
For triangle A:
Area = [tex]\frac{1}{2}base*height[/tex] = [tex]\frac{1}{2} *2*3=3 \ unit^2[/tex]
For triangle B:
Area = [tex]\frac{1}{2}base*height[/tex] = [tex]\frac{1}{2} *2*3=3 \ unit^2[/tex]
For triangle C:
Area = [tex]\frac{1}{2}base*height[/tex] = [tex]\frac{1}{2} *3*3=4.5 \ unit^2[/tex]
Therefore, triangle C has the largest area.
