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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

32.5 square units
32.5 square units

35 square units
35 square units

65 square units
65 square units

17.5 square units
17.5 square units
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Answer 1

The area of the non-right triangle is 32.5 square units.

This can be calculated by first finding the base, which is 5 squares to the right (9-4), and the height, which is 3 squares up (6-2).

Area = 0.5 * base * height
Area = 0.5 * 5 * 3
Area = 7.5 square units

Since the grid squares are considered as units, the area is 7.5 square units multiplied by 2 because the actual area is half and the answer becomes 15 square units.

Therefore, the area of the non-right triangle is 32.5 square units.