Mathematics

Question

Plot and connect the points A(2, 5), B(6, 1), C(-4, 1), and find the area of the triangle it forms. A. 20 square units B. 36 square units C. 40 square units D. 18 square units

1 Answer

  • Answer:

      A.  20 square units

    Step-by-step explanation:

    You want the area of the triangle whose vertices are A(2, 5), B(6, 1) and C(-4, 1).

    Triangle area

    The area of a triangle is given by the formula ...

      A = 1/2bh

    This triangle has a base of 10 units and a height of 4 units, so its area is ...

      A = 1/2(10)(4) = 20 . . . . square units

    __

    Additional comment

    The length of the base is the difference of the x-coordinates of the points on the line y=1. The height is the difference in y-coordinates between point A and that line. You can do the arithmetic, or you can count the grid squares.

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