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
48 square units
48 square units
32 square units
32 square units
64 square units
64 square units
24 square units
24 square units
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The base of the triangle can be determined by counting the number of squares between the first and third vertices along the top row, which is 8 squares. The height can be determined by counting the number of squares from the top vertex to the base along the rightmost column, which is 6 squares.
The area of a triangle is calculated by the formula: (base x height) / 2.
Therefore, the area of the non-right triangle is:
(8 x 6) / 2 = 48 square units
So, the correct answer is:
48 square units