Answer:
10 +√10
Step-by-step explanation:
Given the coordinates of the triangle expressed as
A(-1,6), B(-1, 1) and C(2,2)
The perimeter of the triangle= AB + BC + AC\
Since AB = AC
P = AC + BC + AC
P = 2AC + BC
get the length AC using the formula;
Given A(-1,6) and C(2,2)
AC = √(2-(-1))²+(2-6)
AC = √3²+4²
AC = √9+16
AC = √25
AC = 5
Get BC
B(-1, 1) and C(2,2)
BC = √(2-(-1))²+(2-1)
BC = √3²+1²
BC = √9+1
BC = √10
Perimeter = 2(5)+√10
Perimeter = 10 + √10
Hence the perimeter of the triangle is 10 +√10
