Question

Look at triangle ABC.

Answer 1

Answer

2. Square root of 20

Step by step explanation

Use the distance formula to find the length of AB.

The distance formula = $\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

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 = $\sqrt{(2 - 4)^2 + (1 -5)^2}$

AB = $\sqrt{(-2)^2 + (-4)^2}$

AB = $\sqrt{4 + 16}$

AB = √20

The answer is Square root of 20 .

Thank you.

Answer 2

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

$AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}.$

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

Therefore,

$AB=\sqrt{(2-4)^2+(1-5)^2}=\sqrt{4+16}=\sqrt{20}.$

Answer: correct choice is 2