Answer:
23 units
Step-by-step explanation:
Let the vertices of the triangle be A(5,6), B(4,1) and C(-4,2)
Perimeter of the triangle = AB + AC + BC
AB = √(5-4)²+(6-1)²
AB = √1²+5²
AB = √1+25
AB = √26
For BC where B(4,1) and C(-4,2)
BC = √(4-+4)²+(1-2)²
BC = √8²+1²
BC = √64+1
BC = √65
For AC where A(5,6) and C(-4,2)
AC = √(5+4)²+(6-2)²
AC = √9²+4²
AC = √81+16
AC = √97
Perimeter = √97 + √26 + √65
Perimeter = 9.85+5.09+8.06
Perimeter = 23
Hence the perimeter of the triangle is approx 23 units
