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FIND THE AREA OF ATRIANGLE DEFINED BY THE COORDINATES (7, 1), (0, 10), and (9, 4). (to the nearest tenth)

Sagot :

Sqdancefanidn

Answer:

  19.5 square units

Step-by-step explanation:

For small triangles defined by grid coordinates, Pick's theorem can be a quick and easy way to find the area. It tells you the area is ...

  A = i +b/2 -1

where i is the number of interior grid points, b is the number of boundary grid points.

This triangle has 5 grid points on its boundary, (6, 6) and (3, 8) in addition to the vertex points. It has 18 interior grid points, so the area is ...

  A = 18 +5/2 -1 = 19.5 . . . square units

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