Area of Non-right Triangles Quick Check

Question

3 of 53 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 3. The second vertex is at the top of row 7 and the left of column 1. The third vertex is at the top of row 1 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

18 square units
18 square units

54 square units
54 square units

45 square units
45 square units

27 square units
27 square units
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Answer 1

To find the area of the non-right triangle, we need to find the base and the height.

The base can be found by counting the number of squares between the first and third vertex horizontally. In this case, it is 6 squares.

The height can be found by counting the number of squares between the first and second vertex vertically. In this case, it is 6 squares.

Therefore, the area of the non-right triangle is 1/2 * base * height = 1/2 * 6 * 6 = 18 square units.

So, the correct answer is:

18 square units