Question 314378: Find the area of the triangle with vertices (-1,4),(-1,8), and (3,4).
Answer by Jstrasner(112)   (Show Source):
You can put this solution on YOUR website! Ok so for this, if you plot the points on a graph you will notice that the triangle is in fact a right triangle. This means that its area is half of a square with its sides. Therefore, all you need to do is measure the length of the two, non-hypotenuse, sides and multiply them, and then divide the answer by two.
So we have one side which is parallel to the x-axis: the line between points (3,4) and (-1,4). To find the length, we subtract the x coordinates: 3-(-1)=4, so we know that one side is 4. for the other, which is parallel to the y-axis, we need to subract the y coordinates: 8-4=4. We multiply these nubers and get 16, we then divide this by 2 and get 8 which is the area of the triangle.
I hope this helps!
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