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Look at triangle ABC.



What is the length of side AB of the triangle?
1. 2

2. Square root of 20

3. 6

4. Square root of 38

Look at triangle ABC What is the length of side AB of the triangle 1 2 2 Square root of 20 3 6 4 Square root of 38 class=

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The distance between two points [tex]A(x_A,y_A)[/tex] and [tex]B(x_B,y_B)[/tex] can be calculated by the formula

[tex]AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}.[/tex]

The vertices A and B of the triangle ABC have coordinates (4,5) and (2,1), respectively.

Therefore,

[tex]AB=\sqrt{(2-4)^2+(1-5)^2}=\sqrt{4+16}=\sqrt{20}.[/tex]

Answer: correct choice is 2

Answer

2. Square root of 20

Step by step explanation

Use the distance formula to find the length of AB.

The distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Here A = (4, 5) and B = (2, 1)

x1 =4, y1 = 5, x2 = 2 and y2 = 1

Plug in these values in to the distance formula, we get

AB = [tex]\sqrt{(2 - 4)^2 + (1 -5)^2}[/tex]

AB = [tex]\sqrt{(-2)^2 + (-4)^2}[/tex]

AB = [tex]\sqrt{4 + 16}[/tex]

AB = √20

The answer is Square root of 20 .

Thank you.