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# Find the length of the line segment that joins the points (2, 5) and (9, 8).

**Solution:**

Given, the two points are (2,5) and (9, 8).

We have to find the length of the line segment.

Using distance formula,

D = \(\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

Here, (x_{1},y_{1}) = (2,5) and (x_{2},y_{2}) = (9,8)

Now, length of the line segment = \(\sqrt{(9-2)^{2}+(8-5)^{2}}\)

= \(\sqrt{(7)^{2}+(3)^{2}}\)

= \(\sqrt{49+9}\)

= \(\sqrt{58}\)

Therefore, the length of the line segment is \(\sqrt{58}\)units.

## Find the length of the line segment that joins the points (2, 5) and (9, 8).

**Summary:**

The length of the line segment that joins the points (2,5) and (9,8) is \(\sqrt{58}\)units.

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