Respuesta :

Answer:

5 and 5

Step-by-step explanation:

[tex]AB = BC =\sqrt{(4-0)^2+(3-0)^2}=5[/tex]

Answer:

AB = 5

BC = 5

Step-by-step explanation:

The formula to find the distance between two points is: [tex]\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]

AB: 5

The two points are A(-4,0) and B(0,3).

In the formula, it will be expressed as:

[tex]\sqrt{(0-(-4))^2+(3-0)^2}[/tex]

-->  [tex]\sqrt{4^2+3^2}[/tex] .

-->  [tex]\sqrt{16+9}[/tex]

-->  [tex]\sqrt{25}[/tex]

--> 5

BC: 5

The two points are: B(0,3) and C(4,0)

In the formula, it will be expressed as:

[tex]\sqrt{(4-0)^2+(0-3)^2}[/tex]

-->  [tex]\sqrt{(4)^2 + (-3)^2}[/tex]

-->  [tex]\sqrt{16 + 9}[/tex]

-->  [tex]\sqrt{25}[/tex]

--> 5

So both AB and BC is 5.

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