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To find the area of the triangle, we first need to determine the base and height.
Base: The base of the triangle is the distance between the first vertex (10,1) and the second vertex (1,4). Counting the number of squares between these two points, we find that the base is 9 squares.
Height: The height of the triangle is the distance between the second vertex (1,4) and the third vertex (10,10). Counting the number of squares between these two points, we find that the height is 8 squares.
Now, we can use the formula for the area of a triangle:
Area = 1/2 * base * height
Area = 1/2 * 9 * 8 = 36 square units
Therefore, the area of the non-right triangle is 36 square units.
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Area of Non-right Triangles Practice
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Question
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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 1 and the right of column 10. The second vertex is at the top of row 4 and the left of column 1. The third vertex is at the bottom of row 10 and the right of column 10.
What is the area of the non-right triangle? The base and height are found by counting the squares.
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The area is
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