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# Find the area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).

**Solution:**

The given coordinates are (-3, -4), (-7, 0), and (-3, 4)

Area of triangle = 1/2 |x_{1} (y_{2} - y_{3}) + x_{2} (y_{3} - y_{1}) + x_{3} (y_{1} - y_{2})|

Substituting the values in the formula

= 1/2 |-3 (0 - 4) - 7 (4 + 4) - 3 (-4 - 0)|

By further calculation

= 1/2 |-3 (-4) - 7 (8) - 3 (-4)|

= 1/2 |12 - 56 + 12|

So we get

= 1/2 |24 - 56|

= 1/2 (32)

= 16

Therefore, the area of the triangle is 16 square units.

## Find the area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).

**Summary:**

The area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4) is 16 square units.

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