Answer:
The length of side AB is 5 units
Step-by-step explanation:
* Lets revise how to find the distance between two points
- If there are two points their coordinates are (x1 , y1) and (x2 , y2),
then we can find the distance between them by this rule:
d = √[(x2 - x1)² + (y2 - y1)²]
- Now lets solve the problem
∵ A = (4 , -5)
∵ B = (7 , -9)
- To find the length of AB use the rule of the distance above
- Let point A is (x1 , y1) and point B is (x2 , y2)
∵ x1 = 4 and x2 = 7
∵ y1 = -5 and y2 = -9
∴ AB = √[(7 - 4)² + (-9 - -5)²]
∴ AB = √[(3)² + (-4)²]
∴ AB = √[9 + 16] = √25 = 5
* The length of side AB is 5 units
