# what is the area of a triangle with the following vertices (-2,7) (-8,5) (4,5)

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justaguide | Certified Educator

The area of the triangle with the vertices (-2,7) (-8,5) (4,5) has to be determined.

The distance between the points (-8, 5) and (4, 5) is 12. The equation of the line between (-8, 5) and (4, 5) is (y - 5)/(x - 4) = 0 or y = 5

The point (-2, 7) is at a perpendicular distance of 2 from y = 5.

The area of the triangle given by (1/2)*b*h = (1/2)*12*2 = 12

**The required area of the triangle formed by the vertices (-2,7) (-8,5) and (4,5) is 12 square units.**