SOLUTION: Find the perimeter of a triangle whose vertices are (1,4), (5,1), (0,1). A.13.16 B.15.16 C.16.13 D.17.15

Algebra ->  Points-lines-and-rays -> SOLUTION: Find the perimeter of a triangle whose vertices are (1,4), (5,1), (0,1). A.13.16 B.15.16 C.16.13 D.17.15      Log On


   

Question 1169732: Find the perimeter of a triangle whose vertices are (1,4), (5,1), (0,1).
A.13.16
B.15.16
C.16.13
D.17.15
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find the perimeter of a triangle whose vertices are (1,4), (5,1), (0,1).
first find the length of each side
one side: distance between (1,4) and (5,1)
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%285-%281%29%29%5E2%29%2B%28%281-%284%29%29%5E2%29%29
sqrt%284%5E2%2B-3%5E2%29 The distance is 5.



side a=5
second side: distance between (1,4) and (0,1)
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%280-%281%29%29%5E2%29%2B%28%281-%284%29%29%5E2%29%29
sqrt%28-1%5E2%2B-3%5E2%29 The distance is 3.16227766016838.



side b=3.16
third side: distance between (0,1) and (5,1)
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%285-%280%29%29%5E2%29%2B%28%281-%281%29%29%5E2%29%29
sqrt%285%5E2%2B0%5E2%29 The distance is 5.



side+c=5
the perimeter of a triangle is: P=a%2Bb%2Bc=5%2B3.16%2B5=13.16

answer:
A.13.16