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.
Mathematics
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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

1. User Answers sqdancefan
Answer:
A. 20 square units
Stepbystep 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
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Additional comment
The length of the base is the difference of the xcoordinates of the points on the line y=1. The height is the difference in ycoordinates between point A and that line. You can do the arithmetic, or you can count the grid squares.