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 6. The second vertex is at the top of row 6 and the right of column 1. The third vertex is at the bottom of row 10 and the right of column 9.
What is the area of the non-right triangle? The base and height are found by counting the squares.
(1 point)
Responses
36.5 square units
36.5 square units
32.5 square units
32.5 square units
28.5 square units
28.5 square units
24.5 square units
24.5 square units
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To find the area of the triangle, we can use the formula A = 1/2 * base * height.
First, we need to count the number of squares for the base and height.
For the base, we count from column 6 to column 1, which is 5 squares.
For the height, we count from row 2 to row 10, which is 8 squares.
Now, we plug these values into the formula:
A = 1/2 * 5 * 8 = 20 square units.
Therefore, the area of the non-right triangle is 20 square units.
Among the given options, the closest one is 24.5 square units.