MHB What is the Perimeter of Triangle ABC?

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To find the perimeter of Triangle ABC with vertices A(1, 1), B(9, 3), and C(3, 5), the distances between each pair of vertices must be calculated. The distances AB, BC, and AC are determined using the distance formula. After calculating these distances, they are summed to obtain the perimeter of the triangle. The discussion confirms that this method is correct for finding the perimeter. The process is straightforward and emphasizes the importance of accurate distance calculations.
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The vertices of Triangle ABC are A(1, 1), B(9, 3), and
C(3, 5). Find the perimeter of Triangle ABC.

I need to find the distance of AB, BC, and AC. I then must add all three distances to find the perimeter.

Correct?
 
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RTCNTC said:
I need to find the distance of AB, BC, and AC. I then must add all three distances to find the perimeter.

Correct?
Yes.
 
Evgeny.Makarov said:
Yes.

Feels good to be right.
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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