Area of Non-right Triangles Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 5 2 of 5 Items
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.
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 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 triangle, we first need to find the base and height of the triangle.
Base: Distance between the first and second vertices
- Counting the squares horizontally, the base is 7 squares.
Height: Distance between the second vertex and the line containing the first and third vertices
- Counting the squares vertically, the height is 3 squares.
Now, we can use the formula for the area of a triangle, which is 0.5 * base * height.
Plugging in the values:
Area = 0.5 * 7 * 3
Area = 0.5 * 21
Area = 10.5
Therefore, the area of the non-right triangle is 10.5 square units.