Question

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

Answer 1

2. Square root of 20

Step by step explanation

Use the distance formula to find the length of AB.

The distance formula =
`√((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 =
`√((2 - 4)^2 + (1 -5)^2)`

AB =
`√((-2)^2 + (-4)^2)`

AB =
`√(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=√((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=√((2-4)^2+(1-5)^2)=√(4+16)=√(20).`

Answer: correct choice is 2