Question

Find
distance between point A (a,0) andB(0, a)​

Answer 1

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${ \bold { \underline{\large{Given : - }}}} \:$

❍ Point A(a,0) and B(0,a).

Values that we have :-

• $\sf{x_{1}\:=\:a}$

• $\sf{x_{2}\:=\:0}$

• $\sf{y_{1}\:=\:0}$

• $\sf{y_{2}\:=\:a}$

${ \bold { \underline{\large{To \: Find : - }}}} \:$

❍ Distance between point A and B.

${ \bold { \underline{\large{Solution : - }}}} \:$

Formula that we will use :-

${\red\bigstar\:{ \boxed { \bold {\green{Distance\:Formula\:\leadsto\:\sqrt{(x_{2}\:-\:x_{1})^2\:+\:(y_{2}\:-\:y_{1})^2}}}}}} \:$

So, let's put all values in formula !!

➱ $\tt{\sqrt{(0\:-\:a)^2\:+\:(a\:-\:0)^2}}$

➱ $\tt{\sqrt{(-a)^2\:+\:(a)^2}}$

➱ $\tt{\sqrt{a^2\:+\:a^2}}$

➱ $\tt{\sqrt{2a^2}}$

➱ $\tt{\sqrt{2\:\times\:a\:\times\:a}}$

➱ $\tt{a\sqrt{2}}$

$\boxed {\frak {\therefore \purple {Distance\:between\:point\:A\:and\:B\:\leadsto\:a\sqrt{2}\:sq.units}}}\:\pink\bigstar$

${ \bold { \underline{\large{NOTE : - }}}} \:$

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Answer 2

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${ \bold { \underline{\large{Given : - }}}} \:$

❍ Point A(a,0) and B(0,a).

Values that we have :-

• $\sf{x_{1}\:=\:a}$

• $\sf{x_{2}\:=\:0}$

• $\sf{y_{1}\:=\:0}$

• $\sf{y_{2}\:=\:a}$

${ \bold { \underline{\large{To \: Find : - }}}} \:$

❍ Distance between point A and B.

${ \bold { \underline{\large{Solution : - }}}} \:$

Formula that we will use :-

${\red\bigstar\:{ \boxed { \bold {\green{Distance\:Formula\:\leadsto\:\sqrt{(x_{2}\:-\:x_{1})^2\:+\:(y_{2}\:-\:y_{1})^2}}}}}} \:$

So, let's put all values in formula !!

➱ $\tt{\sqrt{(0\:-\:a)^2\:+\:(a\:-\:0)^2}}$

➱ $\tt{\sqrt{(-a)^2\:+\:(a)^2}}$

➱ $\tt{\sqrt{a^2\:+\:a^2}}$

➱ $\tt{\sqrt{2a^2}}$

➱ $\tt{\sqrt{2\:\times\:a\:\times\:a}}$

➱ $\tt{a\sqrt{2}}$

$\boxed {\frak {\therefore \purple {Distance\:between\:point\:A\:and\:B\:\leadsto\:a\sqrt{2}\:sq.units}}}\:\pink\bigstar$

${ \bold { \underline{\large{NOTE : - }}}} \:$

•Dear user , if u are site (brainly.in) user. Then answer will be correctly displayed to you.

•But if you uses the app, please swipe right of the screen to see the full answer.

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━