Question

$\underline{ \underline{ \large\blue\maltese\bf \large \green{Question:-}}}$
The distance between the points (0, 5) and (–5, 0) is-​

Answer 1

Answer:

• The distance between the points (0, 5) and (–5, 0) is 5√2.

Step-by-step explanation:

Given :

Points (0, 5) and (–5, 0).

To find :

Distance between the points.

Solution :

• Distance formula:

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

• Substituting we get:

$\rightsquigarrow \bold{\sqrt{(-5-0)^{2}+(0-5)^{2}} }$

$\rightsquigarrow \bold{\sqrt{(-5)^{2}+(-5)^{2}} }$

$\rightsquigarrow \bold{\sqrt{25+25}}$

$\rightsquigarrow \bold{\sqrt{50} }$

$\bold{\rightsquigarrow \sqrt{25\times2} }$

$\rightsquigarrow \bold{\sqrt{5^{2}}\times\sqrt{2} }$

$\rightsquigarrow \bold{5\sqrt{2} }$

∴ The distance between the points (0, 5) and (–5, 0) is 5√2.

Answer 2

Answer:

5√2.

Step-by-step explanation:

The distance between the points (0, 5) and (–5, 0) is 5√2.