An illustration shows a 10 by 10 grid. A non-right triangle is enclosed within the grid. The first vertex at the top of row 2 and the right of column 8. The second vertex is at the top of row 4 and the right of column 1. The third vertex is at the bottom of row 10 and the right of column 8.
What is the area of the non-right triangle? The base and height are found by counting the squares.
To find the area of the non-right triangle, we first need to find the base and height of the triangle.
The base of the triangle is the horizontal distance between the first and third vertices. Counting the squares, we see that the base has a length of 8 squares.
The height of the triangle is the vertical distance between the second vertex and the line connecting the first and third vertices. Counting the squares, we see that the height has a length of 7 squares.
Therefore, the area of the non-right triangle is:
Area = 1/2 * base * height
Area = 1/2 * 8 * 7
Area = 28 square units
So, the area of the non-right triangle is 28 square units.