Question 1 - 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 at the top of row 2 and the right of column 8. The second vertex is at the top of row 4 and the right of column 1. The third vertex is at the bottom of row 10 and the right of column 8.
What is the area of the non-right triangle? The base and height are found by counting the squares.
(1 point)
The area is
square units.
To find the area of the non-right triangle, we can calculate the base and height by counting the squares from the given vertices.
Base: Count the number of squares between the first and third vertex horizontally.
Base = 8 squares
Height: Count the number of squares between the second vertex and the line connecting the first and third vertex vertically.
Height = 6 squares
Now, we can calculate the area of the triangle using the formula:
Area = 0.5 * base * height
Area = 0.5 * 8 * 6
Area = 24 square units
Therefore, the area of the non-right triangle is 24 square units.
wrong
To calculate the area of the triangle, we can split it into two right triangles and find the area of each of them separately.
First right triangle:
Base = 8 squares
Height = 1 square
Area = 0.5 * base * height
Area = 0.5 * 8 * 1
Area = 4 square units
Second right triangle:
Base = 7 squares
Height = 6 squares
Area = 0.5 * base * height
Area = 0.5 * 7 * 6
Area = 21 square units
Total area of the non-right triangle = Area of first right triangle + Area of second right triangle
Total area = 4 + 21
Total area = 25 square units
Therefore, the correct area of the non-right triangle is 25 square units.
wrong
My apologies for the error in my previous responses. Let's recalculate the area of the non-right triangle.
Base: Count the number of squares between the first and third vertex horizontally.
Base = 7 squares
Height: Count the number of squares between the second vertex and the line connecting the first and third vertex vertically.
Height = 9 squares
Now, we can calculate the area of the non-right triangle using the formula:
Area = 0.5 * base * height
Area = 0.5 * 7 * 9
Area = 31.5 square units
Therefore, the correct area of the non-right triangle is 31.5 square units.
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 area is
square units.
To find the area of the non-right triangle in the provided grid, we first determine the base and height of the triangle by counting the squares.
Base: Count the number of squares between the first and third vertex horizontally.
Base = 10 squares
Height: Count the number of squares between the second vertex and the line connecting the first and third vertex vertically.
Height = 7 squares
Now, we can calculate the area of the non-right triangle using the formula:
Area = 0.5 * base * height
Area = 0.5 * 10 * 7
Area = 35 square units
Therefore, the area of the non-right triangle in the grid is 35 square units.