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 6. The second vertex is at the top of row 8 and the right of column 1. The third vertex is at the top of row 10 and right of column 10.
What is the area of the non-right triangle? The base and height are found by counting the squares.
Explain why the Correct Answer
is the only Correct Answer
To find the area of the non-right triangle, we need to first find the base and height of the triangle by counting the squares in the grid.
The base of the triangle is 6 units long, as it stretches from column 1 to column 6 along row 8. The height of the triangle is 2 units long, as it stretches from row 8 to row 10 along column 6.
Therefore, the area of the triangle is 0.5 * base * height = 0.5 * 6 * 2 = 6 square units.
The correct answer is the only correct answer because it is the only calculation that accurately takes into account the base and height of the triangle. The base and height were calculated correctly using the grid provided, and the formula for finding the area of a triangle was applied correctly to find the final answer of 6 square units.