Question

Find the distance between the points
(2,-5) and (7,7)

Answer 1

Answer:

${\large{\sf{\underline{Given}}}}$

$\: \: \: \: \: \: \: \: { \sf{❍ \: Given \: Points \: are \: (2, -5) \: and \: (7,7)}}$

${\large{\sf{\underline{To \: Find}}}}$

$\: \: \: \: \: \: \: \: { \sf{❍ \: Distance \: between \: those \: points??}}$

${\large{\sf{\underline{Solution}}}}$

• For finding distance between any two points, we have to use distance formula. Thus, We can get the required answer

${\underline{ \sf{★ \: Formula\: used,}}}$

• ${ \boxed{ \boxed{ \sf{Distance = \sqrt{ {( x_{2} -x_{1} ) }^{2} + {(y_{2} - y_{1})}^{2} } }}}}$

${\underline{ \sf{★ \: From \: Question,}}}$

• ${ \sf{ x_{1} = 2}}$
• ${ \sf{ x_{2} = 7}}$
• ${ \sf{ y_{1} = - 5}}$
• ${ \sf{ y_{2 } = 7}}$

${\underline{ \sf{★ \: By\: Substituting ,}}}$

${\dashrightarrow{\sf{Distance= \sqrt{ {(7 - 2)}^{2} + {(7 - ( - 5))}^{2} } }}} \\ \\ \\ {\dashrightarrow{\sf{Distance= \sqrt{ {(5)}^{2} + {(7 + 5)}^{2} } }}} \\ \\ \\ {\dashrightarrow{\sf{Distance= \sqrt{25 + {(12)}^{2} } }}} \\ \\ \\ {\dashrightarrow{\sf{Distance= \sqrt{25 + 144} }}} \\ \\ \\ {\dashrightarrow{\sf{Distance= \sqrt{169} }}} \\ \\ \\ {\dashrightarrow{\sf{Distance=13}}} \\ \\ \\ \boxed{ \boxed{ \therefore{ \sf{ \pink{Distance=13cm}}}}}$