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meriva
3 years ago
7

Please help, easy geometry​

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer:

  28 square units

Step-by-step explanation:

The formula usually used for the area of a triangle is ...

  A = (1/2)bh

where b is the base length and h is the height.

Since the bottom two points lie on the horizontal line y=1, it is convenient to choose the line segment between them as the base. That segment has a length that extends from x=-3 to x=4, so it is 7 units long.

The height is the perpendicular distance from the third point (1, 9) to the base (line y=1). The distance in the x direction is the distance from y=1 to y=9, a distance of 8 units.

Putting these numbers for base length and height into the area formula, we get

  A = (1/2)(7 units)(8 units) = 28 square units

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