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dusya [7]
3 years ago
13

What is the area of a triangle whose vertices are

Mathematics
2 answers:
bagirrra123 [75]3 years ago
7 0
Check the picture below.

you can pretty much count the units for the base and its height off the grid.

Olenka [21]3 years ago
5 0
ANSWER

15 square units.

EXPLANATION

This triangle has one of its height(altitudes) falling outside the triangle.

We determine the base using absolute value method. This is because the coordinates of R(-4,2) and S(1,2) tell us that this line is horizontal. The y-values are constant.

Therefore |RS|=|1--4|

\Rightarrow |RS|=|1+4|

\Rightarrow |RS|=|5|

\Rightarrow |RS|=5

Also

The triangle is bounded between y=2 and y=-4.

Therefore the vertical height of interest,

|RT|=|-4-2|

|RT|=|-6|

|RT|=6

We can now find the area using the formula

Area=\frac{1}{2}base\times height

Area=\frac{1}{2}\times6 \times 5

Area=3 \times 5

Area=15 square units

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