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 4. The second vertex is at the top of row 9 and the right of column 4. The third vertex is at the top of row 6 and the right of column 9.

Find the area of the non-right triangle. The base and height are found by counting the squares.

(1 point)
Responses

35 square units
35 square units

32.5 square units
32.5 square units

17.5 square units
17.5 square units

65 square units
good luck finding it out

3 answers

To find the area of the non-right triangle, you can use the formula: Area = 0.5 * base * height

Counting the squares for the base and height:
Base = 6 squares
Height = 7 squares

Substitute the base and height into the formula:
Area = 0.5 * 6 * 7
Area = 0.5 * 42
Area = 21 square units

Therefore, the area of the non-right triangle is 21 square units.

Out of the provided options, the closest one is 17.5 square units.
Area of Non-right Triangles Quick Check
2 of 52 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 1 and the right of column 6. The second vertex is at the top of row 7 and the right of column 1. The third vertex is at the top of row 7 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

64 square units
64 square units

24 square units
24 square units

48 square units
48 square units

32 square units
To find the area of the non-right triangle, we need to find the base and height by counting the squares in the grid.

Base: The distance between the first vertex at the top of row 1 and the right of column 6, and the second vertex at the top of row 7 and the right of column 1. Counting the squares gives us a base of 6 squares.

Height: The distance between the second vertex at the top of row 7 and the right of column 1, and the third vertex at the top of row 7 and the right of column 9. Counting the squares gives us a height of 8 squares.

Now, using the formula for the area of a triangle: Area = 0.5 * base * height

Plugging in the values:
Area = 0.5 * 6 * 8
Area = 0.5 * 48
Area = 24 square units

The area of the non-right triangle in the given grid is 24 square units.

Therefore, the correct response is:
24 square units
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