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What is the length of the shortest side of a triangle that has vertices at (4,6), (-2,0), and (-6,3)?

User KiritoLyn
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2 Answers

1 vote
1 vote

Answer: 5

If you graphed these three points on a graph you can see that the points (-2,0) and (-6,3) have the smallest length. First we want to find the slope of these points. We can use the formula y2 - y1 / x2 - x1. 3 - 0 / -6 - -2. 3-0 is 3 and -6 - -2 is -4. Two negatives make a postive. So the slope is 3/-4. We can't have a negative slope so change the -4 to a postive 4. Now square the slope 3/4 to get 9 and 16. We know the pythagoren therom formula is a^2 + b^2 = c^2. So square 3 and 4 to get 9 and 16 then add them to get 25. Square 25 and you get the answer 5.

User Jacob Socolar
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3.7k points
1 vote
1 vote

Answer:

5

Explanation:

This is a 3, 4, 5 triangle

User Jdnichollsc
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