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.
The area is | | square units.
To find the area of the triangle, we must first calculate the base and height by counting the squares.
Base: The base is the horizontal distance between the first and third vertices. From column 6 to column 9, there are 3 squares.
Height: The height is the vertical distance between the second vertex and the line containing the first and third vertices. From row 1 to row 10, there are 9 squares.
Area = (1/2) x base x height
Area = (1/2) x 3 x 9
Area = 13.5 square units
Therefore, the area of the non-right triangle is 13.5 square units.
nope that didnt work
Apologies for the mistake. Let's recalculate the area of the non-right triangle.
Base: The base is the horizontal distance between the first and third vertices. From column 6 to column 9, there are 4 squares.
Height: The height is the vertical distance between the second vertex and the line containing the first and third vertices. From row 1 to row 10, there are 10 squares.
Area = (1/2) x base x height
Area = (1/2) x 4 x 10
Area = 20 square units
Therefore, the area of the non-right triangle is 20 square units.
nor that either
Let's try to calculate the area of the triangle again.
Base: The base is the horizontal distance between the first and third vertices. From column 6 to column 9, there are 4 squares.
Height: The height is the vertical distance between the second vertex and the line containing the first and third vertices. From row 1 to row 10, there are 10 squares.
Area = (1/2) x base x height
Area = (1/2) x 4 x 10
Area = 20 square units
Therefore, the area of the non-right triangle is 20 square units.
that's literally the same answer
Apologies for the errors in the previous responses. Let's reevaluate the calculation for the area of the non-right triangle.
The base is the horizontal distance between the first and third vertices, which is from column 6 to column 9, a total of 4 squares.
The height is the vertical distance between the second vertex and the line containing the first and third vertices, which is from row 2 to row 10, a total of 8 squares.
Area = (1/2) x base x height
Area = (1/2) x 4 x 8
Area = 16 square units
Therefore, the correct area of the non-right triangle is 16 square units.
that didnt work
I apologize for the previous errors in my calculations. Let's reevaluate the area calculation for the non-right triangle.
Base: The base is the horizontal distance between the first and third vertices. It goes from column 6 to column 9, which is a total of 4 squares.
Height: The height is the vertical distance between the second vertex and the line containing the first and third vertices. It goes from row 2 to row 10, which is a total of 8 squares.
Area = (1/2) x base x height
Area = (1/2) x 4 x 8
Area = 16 square units
Therefore, the correct area of the non-right triangle is 16 square units.