How do you find the perimeter of a triangle whose coordinates are (0,0) (6,8) ( 12,0)?

1 Answer
May 12, 2018

#P=32#

Explanation:

.

#A(0,0),B (6,8),C (12,0)#

We use the distance formula to find the length of each side. Then we add them together. The distance formula is:

#d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

#AB=sqrt((6-0)^2+(8-0)^2)=sqrt(36+64)=sqrt100=10#

#BC=sqrt((12-6)^2+(0-8)^2)=sqrt(36+64)=sqrt100=10#

#AC=sqrt((12-0)^2+(0-0)^2)=sqrt(144+0)=sqrt144=12#

#P=AB+BC+AC=10+10+12=32#