SOLUTION: Find the perimeter of the triangle with vertices a(4,-1), b(3,1) and c (-4,-2).

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Question 923208: Find the perimeter of the triangle with vertices a(4,-1), b(3,1) and c (-4,-2).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the triangle with vertices a(4,-1), b(3,1) and c (-4,-2)
find the distance between points
the distance between a(4,-1), b(3,1) is equal to the length of the side ab
the distance between a(4,-1), c (-4,-2) is equal to the length of the side ac
the distance between b(3,1), c (-4,-2) is equal to the length of the side bc
and the perimeter is:P=ab%2Bac%2Bbc

Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%283-4%29%5E2+%2B+%281--1%29%5E2%29=+2.23606797749979+


For more on this concept, refer to Distance formula.


Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%28-4-4%29%5E2+%2B+%28-2--1%29%5E2%29=+8.06225774829855+


For more on this concept, refer to Distance formula.


Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%28-4-3%29%5E2+%2B+%28-2-1%29%5E2%29=+7.61577310586391+


For more on this concept, refer to Distance formula.





so, ab=2.24,ac=8.06,bc=7.6%7D%7D%0D%0A%0D%0Athen+%7B%7B%7BP=ab%2Bac%2Bbc=>P=2.24%2B8.06%2B7.6=>P=17.9