Finding the Area of a Triangle Using Pick's Formula
Explore how counting lattice points inside and on the boundary of a triangle determines its area.
Task 1:
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Task 2
In the coordinate plane, create a right triangle and an isosceles triangle. Calculate their areas using the formula first, then Pick’s formula and compare the results.
Task 3
In the coordinate plane, the coordinates of the vertices of a triangle are , and . Calculate the area of triangle .
Task 4
In the coordinate plane, the coordinates of the vertices of a triangle are , and . Does Pick’s formula work for this triangle?