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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

28.5 square units
28.5 square units

24.5 square units
24.5 square units

36.5 square units
36.5 square units

32.5 square units
32.5 square units
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Answer 1

To find the area of a triangle, we use the formula:

Area = 0.5 * base * height

The base of the triangle would be the horizontal distance from the first vertex to the second vertex. Counting the squares, the base is 5 units.

The height of the triangle would be the vertical distance from the second vertex to the third vertex. Counting the squares, the height is 5 units.

Now we can calculate the area:

Area = 0.5 * 5 units * 5 units
Area = 0.5 * 25
Area = 12.5 square units

Therefore, the area of the non-right triangle is 12.5 square units.

None of the given options match the calculated area, but the closest option is 24.5 square units, so that would be the best choice.