Question

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

17.5 square units
17.5 square units

65 square units
65 square units

35 square units
35 square units

32.5 square units
32.5 square units
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Answer 1

[AI-generated answer — Bot GPT 3.5]

32.5 square units

To find the area of the non-right triangle, we need to find the base and the height.

The base is the distance between the first and third vertices, which is 5 units (9-4).

The height is the distance between the third vertex and the line formed by the base, which is 6 units (6-2).

Therefore, the area of the non-right triangle is (5 x 6) / 2 = 30 / 2 = 15 square units. Since the triangle is not right-angled, we must use the formula for the area of any triangle, which is 0.5 x base x height.

Therefore, the area of the non-right triangle is 15 + (5/2) = 15 + 2.5 = 17.5 square units.