Finding the Area of a Triangle Using Pick's Formula
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.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open vraag 1
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.
Tekst en wiskundige invoer
Open vraag 2
In the coordinate plane, the coordinates of the vertices of a triangle are , and . Calculate the area of triangle .
Tekst en wiskundige invoer
Open vraag 3
In the coordinate plane, the coordinates of the vertices of a triangle are , and . Does Pick’s formula work for this triangle?
Tekst en wiskundige invoer