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{(-5,-1),(0,1),(-1,5),(-6,3)} Side connecting (-5,-1) and (-6,3) Side connecting (0,1) and (-1,5)

1 Answer

5 votes

Answer:

Both sides have the same length of √17 units.

Explanation:

To find the length of the side connecting the points (-5, -1) and (-6, 3), we can use the distance formula.

The distance between two points (x1, y1) and (x2, y2) is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Using this formula, we can calculate the length of the first side:

d1 = √((-6 - (-5))^2 + (3 - (-1))^2)

= √((-6 + 5)^2 + (3 + 1)^2)

= √((-1)^2 + 4^2)

= √(1 + 16)

= √17

Therefore, the length of the side connecting the points (-5, -1) and (-6, 3) is √17.

Now, let's calculate the length of the side connecting the points (0, 1) and (-1, 5):

d2 = √((-1 - 0)^2 + (5 - 1)^2)

= √((-1)^2 + 4^2)

= √(1 + 16)

= √17

Therefore,

The length of the side connecting the points (0, 1) and (-1, 5) is also √17.

THus,

Both sides have the same length of √17 units.

Question:

{(-5,-1),(0,1),(-1,5),(-6,3)}

Find the length of the side connection.

- Side connecting (-5,-1) and (-6,3)

- Side connecting (0,1) and (-1,5)

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