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 6. The second vertex is at the top of row 10 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. Do not round your answer.
(1 point)
The area is
square units.
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First, we need to find the base and height of the non-right triangle.
The base is the distance between the first and third vertices. Counting the squares horizontally, we see that the base has a length of 9 squares.
The height is the distance between the first vertex and a line parallel to the base passing through the second vertex. Counting the squares vertically, we see that the height has a length of 8 squares.
Now, we can calculate the area of the non-right triangle using the formula for the area of a triangle:
Area = 0.5 * base * height
Area = 0.5 * 9 * 8
Area = 36 square units
Therefore, the area of the non-right triangle is 36 square units.