Look at triangle ABC.

Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 1, 2, and C at ordered pair 4, 2.

What is the length of side AB of the triangle?

Square root of 6
3
Square root of 18
6

length of side AB of the triangle is   . Correct option C. Square root of 18

Step-by-step explanation:

Here we have , Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 1, 2, and C at ordered pair 4, 2. We need to find What is the length of side AB of the triangle . Let's find out:

We know that distance between any two points is :

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Here two points are : , so length of AB is given by

⇒

⇒

⇒

⇒

⇒

Therefore , length of side AB of the triangle is   . Correct option C. Square root of 18