SOLUTION: Find the perimeter of the triangle whose vertices are the following specified points in the plane. (0,−10),(1,−3) and (8,−8)

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Question 1139368: Find the perimeter of the triangle whose vertices are the following specified points in the plane.
(0,−10),(1,−3) and (8,−8)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the perimeter of the triangle whose vertices are the following specified points in the plane:

A=(0,-10)
B=(1,-3) and
C=(8,-8)
=>AB,AC, and BC are the sides
find the length of sides using distance formula

Solved by pluggable solver: Distance Between 2 points
The distance formula is sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29. Plug in the numbers,
sqrt%28%28%281-%280%29%29%5E2%29%2B%28%28-3-%28-10%29%29%5E2%29%29
sqrt%281%5E2%2B7%5E2%29 The distance is 7.07106781186548.



=>AB=7.07
Solved by pluggable solver: Distance Between 2 points
The distance formula is sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29. Plug in the numbers,
sqrt%28%28%288-%280%29%29%5E2%29%2B%28%28-8-%28-10%29%29%5E2%29%29
sqrt%288%5E2%2B2%5E2%29 The distance is 8.24621125123532.



AC=8.25
Solved by pluggable solver: Distance Between 2 points
The distance formula is sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29. Plug in the numbers,
sqrt%28%28%288-%281%29%29%5E2%29%2B%28%28-8-%28-3%29%29%5E2%29%29
sqrt%287%5E2%2B-5%5E2%29 The distance is 8.60232526704263.



and BC=8.6

then, the perimeter of the triangle is P=7.07%2B8.25%2B8.6=23.9