# Explore the Area of Triangles

## Work Time

# Explore the Area of Triangles

The formula for the area of a triangle is

area = $\frac{1}{2}$ • base • height, or *A* = $\frac{1}{2}$*bh*

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.