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 1 and the right of column 10. The second vertex is at the top of row 4 and the left of column 1. The third vertex is at the bottom of row 10 and the right of column 10.
What is the area of the non-right triangle? The base and height are found by counting the squares.
(1 point)
The base of the triangle is 9 units wide (from column 1 to column 9) and the height is 6 units tall (from row 4 to row 10).
Therefore, the area of the non-right triangle is:
Area = 1/2 * base * height
Area = 1/2 * 9 * 6
Area = 27 square units.
wrong
My apologies for the mistake.
To find the area of the non-right triangle, we can first calculate the area of the whole grid and then subtract the areas of the right triangles formed outside the non-right triangle.
The area of the whole grid is 10 units wide and 10 units tall, so the total area is 10 * 10 = 100 square units.
Now we need to find the area of the two right triangles outside the non-right triangle. One right triangle is 3 units wide and 6 units tall, and the other is 1 unit wide and 7 units tall.
First right triangle area = 1/2 * 3 * 6 = 9 square units
Second right triangle area = 1/2 * 1 * 7 = 3.5 square units
The total area of the right triangles outside the non-right triangle is 9 + 3.5 = 12.5 square units.
Subtracting this from the total area of the grid gives us the area of the non-right triangle:
100 - 12.5 = 87.5 square units
Therefore, the correct area of the non-right triangle is 87.5 square units.
wrong again
I apologize for the mistakes in my previous calculations. Let's rectify it.
The base of the triangle is 9 units wide, and the height is 6 units tall.
Therefore, the area of the non-right triangle is:
Area = 1/2 * base * height
Area = 1/2 * 9 * 6
Area = 27 square units.
So, the correct area of the non-right triangle is 27 square units.