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

(1 point)
Responses

65 square units
65 square units

35 square units
35 square units

32.5 square units
32.5 square units

17.5 square units

given image:
A triangle on it's side on a 10 x10 grid base 7 full squares

1 answer

To find the area of a triangle, you can use the formula:

\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

From your description, the base of the triangle is 7 full squares. We need to determine the height. If you didn't specify the height, we can't calculate the area directly. Make sure to count the height in full squares as well.

However, if we assume the height is also measured in full squares (let's assume a height of 10 squares for this example, but please check your grid), the area would be calculated as follows:

\[ \text{Area} = \frac{1}{2} \times 7 \times \text{height} \]

For instance:

  1. If the height is 10 full squares, the area would be: \[ \text{Area} = \frac{1}{2} \times 7 \times 10 = 35 \text{ square units} \]

  2. If the height is 5 full squares, the area would be: \[ \text{Area} = \frac{1}{2} \times 7 \times 5 = 17.5 \text{ square units} \]

  3. If the height is 8 full squares, the area would be: \[ \text{Area} = \frac{1}{2} \times 7 \times 8 = 28 \text{ square units} \]

Make sure to check the height from your grid and apply it to the formula. The options you provided include:

  • 65 square units
  • 35 square units
  • 32.5 square units
  • 17.5 square units

Depending on your counted height, you would select the corresponding choice. If the height is what would give you 35 square units (height of 10), that would be the answer.