SOLUTION: What is the perimeter of a triangle with the points (-7,1), (2,-6) and (-9,-3)

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Question 1003872: What is the perimeter of a triangle with the points (-7,1), (2,-6) and (-9,-3)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
a triangle with the points (-7,1), (2,-6) and (-9,-3)

let side a be the distance between points (-7,1) and (2,-6)
Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:

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

Thus in our case, the required distance is
d=sqrt%28%28-7-2%29%5E2+%2B+%281--6%29%5E2%29=+11.4017542509914+


For more on this concept, refer to Distance formula.


a=11.4
let side b be the distance between points (-7,1) and (-9,-3)
Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:

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

Thus in our case, the required distance is
d=sqrt%28%28-7--9%29%5E2+%2B+%281--3%29%5E2%29=+4.47213595499958+


For more on this concept, refer to Distance formula.


b=4.8
let side c be the distance between points (-9,-3) and (2,-6)
Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:

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

Thus in our case, the required distance is
d=sqrt%28%282--9%29%5E2+%2B+%28-6--3%29%5E2%29=+11.4017542509914+


For more on this concept, refer to Distance formula.


c=11.4
than perimeter is:P=a%2Bb%2Bc=11.4%2B4.8%2B11.4=27.6