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 answer

To find the area of the triangle, we first need to calculate the base and height of the triangle.

The base of the triangle can be calculated by counting the number of squares between the first vertex (row 2, column 4) and the third vertex (row 6, column 9).

The base has a length of 5 squares.

Next, we calculate the height of the triangle by counting the number of squares between the first vertex (row 2, column 4) and the second vertex (row 9, column 4).

The height has a length of 7 squares.

Now, we can use the formula for the area of a triangle:
Area = 0.5 * base * height

Plugging in the values:
Area = 0.5 * 5 * 7 = 17.5

Therefore, the area of the non-right triangle enclosed within the 10 by 10 grid is 17.5 square units.