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 1 and the right of column 6. The second vertex is at the top of row 7 and the right of column 1. The third vertex is at the top of row 7 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
24 square units
24 square units
64 square units
64 square units
48 square units
48 square units
32 square units
32 square units
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The area of the non-right triangle is 24 square units.
To find the area, we can calculate the base and height of the triangle.
The base is the horizontal distance between the first and third vertices, which is 9 squares.
The height is the vertical distance from the first vertex to the line containing the second and third vertices, which is 6 squares.
Therefore, the area of the triangle is 0.5 x base x height = 0.5 x 9 x 6 = 27 square units.