Find an area of the triangle with the given vertices?  TOPIC_SOLVED

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Find an area of the triangle with the given vertices?

Postby veevee305 on Wed Jun 17, 2009 8:20 pm

I missed this part of class and so now cannot understand it at all. We're working with matrices right now, so it must have to do with those.

Here are the directions: Find the area of the triangle with the given vertices.

The first problem: A(0,1), B(2,6), C(5,5)

If someone could step me through this so I could do the other problems as well, it would be greatly appreciated. Thank you!
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Re: Find an area of the triangle with the given vertices?

Postby jaybird0827 on Wed Jun 17, 2009 10:14 pm

veevee305 wrote:I missed this part of class and so now cannot understand it at all. We're working with matrices right now, so it must have to do with those.

Here are the directions: Find the area of the triangle with the given vertices.

The first problem: A(0,1), B(2,6), C(5,5)

If someone could step me through this so I could do the other problems as well, it would be greatly appreciated. Thank you!


You don't need matrices to do this.

Steps:
1.) Draw a coordinate system.
2.) Plot the three points A, B, C according to the coordinate pairs given each point.
3.) Use the distance formula to find the lengths of the three sides, AB, BC, AC.
4.) If this is a right triangle, use the ordinary formula for the area of a triangle

where and are the legs of the triangle.

If this is not a right triangle, then use Hero's formula to compute the area. That formula should be in your textbook.

Now it's your turn. Please follow the preceding steps. If you get stuck, please post a reply showing how far you were able to get with the above.
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  TOPIC_SOLVED

Postby stapel_eliz on Thu Jun 18, 2009 2:27 am

If you have to use matrix algebra, then note that this is actually done with the determinant. :wink:
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