Area of Non-right Triangles Quick Check
4 of 54 of 5 Items
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 is at the top of row 2 and the right of column 6. The second vertex is at the top of row 6 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.
(1 point)
Responses
36.5 square units
36.5 square units
24.5 square units
24.5 square units
28.5 square units
28.5 square units
32.5 square units
32.5 square units
To find the area of the non-right triangle, we can divide it into two right triangles and then find the area of each and add them together.
One right triangle has a base of 5 units and a height of 9 units, so its area is (1/2) * 5 * 9 = 22.5 square units.
The other right triangle has a base of 4 units and a height of 9 units, so its area is (1/2) * 4 * 9 = 18 square units.
Adding the areas of both right triangles, we get 22.5 + 18 = 40.5 square units.
Therefore, the area of the non-right triangle is 40.5 square units.
Correct response:
28.5 square units