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Please help, easy geometry​

Please help, easy geometry​-example-1
User Timmy Lin
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1 Answer

6 votes

Answer:

28 square units

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

User Jay Smith
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5.4k points