Question

find the length of PQ where P(-3,5) Q(2,-5)​

Answer 1

Answer:

please see attachment..

Step-by-step explanation:

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Answer 2

The length of PQ is equal to $5\sqrt{5}$ units.

Step-by-step explanation:

Here, $P(x_{1}=-3,y_{1}=5)$ and $Q(x_{2}=2,y_{2}=-5)$

To find, the length of PQ = ?

We know that,

The distance formula,

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

∴ The length of PQ $=\sqrt{(2+3)^2+(-5-5)^2}$

$=\sqrt{(5)^2+(-10)^2}$

$=\sqrt{25+100}$

$=\sqrt{125}$

$=\sqrt{5\times 5\times 5}$

$=5\sqrt{5}$ units

Thus, the length of PQ is equal to $5\sqrt{5}$ units.