Perimeter and Area of Triangles in the Cartesian Plane
Find the area of the shaded region
Consider a triangular region in the plane with vertices 𝑂(0, 0), 𝐴(5, 2), and 𝐵(3, 4). What is the perimeter of the
What is the area of the triangular region?
Find the general formula for the area of the triangle with vertices 𝑂(0, 0), 𝐴(𝑥1, 𝑦1), and 𝐵(𝑥2, 𝑦2), as shown. Does the formula work for this triangle?
Find the area of the triangles with vertices listed, first by finding the area of the rectangle enclosing the triangle and
subtracting the area of the surrounding triangles, then by using the formula 1/2(𝑥1𝑦2− 𝑥2𝑦1).
a. 𝑂(0, 0), 𝐴(5, 6), 𝐵(4, 1)
b. 𝑂(0, 0), 𝐴(3, 2), 𝐵 (−2, 6)
c. 𝑂(0, 0), 𝐴(5,−3), 𝐵(−2, 6)
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