Analyzing The Formula of A Triangle

Explore the Area of Triangles

Work Time

Explore the Area of Triangles

The formula for the area of a triangle is
area = 12 •  base • height, or A = 12bh

Use the Triangle interactive to explore the area of a triangle. Move the vertices of the triangle and explore what happens to the area.

  • What happens if you keep the height and base constant and move the vertex parallel to the base?
  • What happens if you keep the base constant and change the height?
  • Try to discover one more interesting fact about a triangle and its area that you can share with the class.

INTERACTIVE: Triangle

Hint:

  • How does knowing the formula for the area of a parallelogram help you understand the formula for the area of a triangle?
  • There are two variables, base and height, that determine the area of a triangle. A triangle also has angle measures and side lengths for the two “non-base” sides. Try experimenting with all of these measures.