What is the perimeter of ΔABC? A)√179 B) √89 + 5 C)√183 + 8√10 D) √34 + √65 + 5

Answer:
D) √34 + √65 + 5
Step-by-step explanation:
DISTANCE FORMULA: d = √[(x₁ - x₂)² + (y₁ - y₂)²]
length of CA = √(4 - 1)² + (5 - 1)² = √9 + 16 = √25 = 5
length of AB = √(9 - 1)² + (2 - 1)² = √64 + 1 = √65
length of BC = √(9 - 4)² + (2 - 5)² = √25 + 9 = √34
Add up: √34 + √65 + 5