SOLUTION: Triangle ABC has vertices at A(3,0), B(9,-5) and C(7,-8). What is the perimeter of triangle ABC, rounded to the nearest whole number?

Algebra ->  Triangles -> SOLUTION: Triangle ABC has vertices at A(3,0), B(9,-5) and C(7,-8). What is the perimeter of triangle ABC, rounded to the nearest whole number?      Log On


   

Question 1027498: Triangle ABC has vertices at A(3,0), B(9,-5) and C(7,-8). What is the perimeter of triangle ABC, rounded to the nearest whole number?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Length AB
Distance between two points
x1 y1 x2 y2

3 0 9 -5
d= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
d= sqrt%28%28%09%09-5%09-%090%09%29%5E2%09%2B%09%28%099%09-%093%09%29%5E2%09%29
d= sqrt%28%28%09%09-5%09%29%5E2%09%2B%09%28%096%09%29%5E2%09%29
d= sqrt%28%28%09%0961%09%29++%09%29
l(AB)= 7.81
l(BC)
Distance between two points
x1 y1 x2 y2

7 -8 9 -5
d= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
d= sqrt%28%28%09%09-5%09-%09-8%09%29%5E2%09%2B%09%28%099%09-%097%09%29%5E2%09%29
d= sqrt%28%28%09%093%09%29%5E2%09%2B%09%28%092%09%29%5E2%09%29
d= sqrt%28%28%09%0913%09%29++%09%29
l(BC)= 3.61
l(CA)
x1 y1 x2 y2

7 -8 3 0
d= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
d= sqrt%28%28%09%090%09-%09-8%09%29%5E2%09%2B%09%28%093%09-%097%09%29%5E2%09%29
d= sqrt%28%28%09%098%09%29%5E2%09%2B%09%28%09-4%09%29%5E2%09%29
d= sqrt%28%28%09%0980%09%29++%09%29
l(CA)= 8.94
Add up all three lengths
m.ananth@hotmail.ca