Question #eb26d

1 Answer
TreeReader
Oct 2, 2017

28.3

Explanation:

Find the distances between each point. (it's useful to draw a diagram here)
Let's call point (-9,-6) A,(-4,-5) B and (4,-9) C.

Length AB: x component is −9−−4=−9+4=5
y component is −6−−5=1
Now the length of the line is √52+12=√26 - using pythagoras.

Length BC:
x component is 5+4 = 9
y component is -5 to -9 = 4
Length = √92+42=√97

Length CA:
x component is 4+9 =13
y component is -9 to -6 = 3
Length = √132+32=√178

Now add all the lengths together to find the perimeter:
√26+√97+√178

decimal approximation = 28.3 units.

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