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 1. The second vertex is at the top of row 10 and the right of column 4. The third vertex is at the top of row 10 and the right of column 7.
What is the area of the non-right triangle? The base and height are found by counting the squares.
(1 point)
Responses
12 square units
12 square units
28 square units
28 square units
14 square units
14 square units
24 square units
24 square units
The correct answer is 28 square units.
To calculate the area of the triangle, you first need to find the base and height of the triangle.
The base is found by counting the squares from the first vertex on the 2nd row to the third vertex on the 2nd row. This is 5 squares wide.
The height is found by counting the squares from the top of row 2 to the top of row 10, which is 9 squares high.
Therefore, the area of the triangle is (5 * 9) / 2 = 45 / 2 = 22.5 square units. Since the area of a triangle is always a whole number, we round up to the nearest whole number which is 23 square units.