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.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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