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denis-greek [22]
3 years ago
5

Look at triangle ABC.

Mathematics
2 answers:
Aleksandr [31]3 years ago
8 0

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.


Alexeev081 [22]3 years ago
3 0

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

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