Use the image to answer the question.
An illustration shows a 10 by 10 grid. A non-right triangle is enclosed within the grid. The first vertex is at the top of row 2 and the right of column 4. The second vertex is at the top of row 9 and the right of column 4. The third vertex is at the top of row 6 and the right of column 9.
Find the area of the non-right triangle. The base and height are found by counting the squares.
(1 point)
Responses
32.5 square units
32.5 square units
35 square units
35 square units
17.5 square units
17.5 square units
65 square units
65 square units
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32.5 square units
To find the area of the triangle, we need to calculate the base and height. The base is the distance between the second and third vertex, which is 5 squares. The height is the distance from the first vertex to the line connecting the second and third vertex, which is 13 squares.
Using the formula for the area of a triangle (Area = 1/2 * base * height), we get:
Area = 1/2 * 5 * 13
Area = 1/2 * 65
Area = 32.5 square units
Therefore, the area of the non-right triangle is 32.5 square units.