Area of Non-right Triangles Practice
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 3 and the right of column 3. The second vertex is at the bottom of row 10 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.
To find the base and height of the triangle, we need to count the number of squares in each direction:
Base:
- From column 3 to column 1, there are 2 squares horizontally.
- From row 3 to row 10, there are 7 squares vertically.
Therefore, the base of the triangle is 2 squares.
Height:
- From column 3 to column 10, there are 7 squares horizontally.
- From row 3 to row 10, there are 7 squares vertically.
Therefore, the height of the triangle is 7 squares.
To find the area of the triangle, we use the formula for the area of a triangle:
Area = 0.5 * base * height
Area = 0.5 * 2 * 7
Area = 7 square units
So, the area of the non-right triangle within the 10 by 10 grid is 7 square units.