What is the distance?

Question

asked Sep 9, 2024 54.0k views

2 Answers

Silentbob · Answer 1 · 2024-09-12T16:11:36+0000

To find the distance between two given points, we can use distance Formula...

$\bigstar \: { \underline{ \overline{ \boxed{ \frak{Distance= \sqrt{{(x_(2) - x_(1)) }^(2) +{(y_(2) - y_(1)) }^(2) }}}}}}$

★ Let's substitute the values into the distance formula:-

${\longrightarrow \:{ \pmb{\: Distance= \sqrt{{(x_(2) - x_(1)) }^(2) +{(y_(2) - y_(1)) }^(2) }}}}$

${\longrightarrow \:{ \pmb{\: AB= \sqrt{{( - 5 - 3) }^(2) +{(( - 7) - ( - 7)) }^(2) }}}}$

${\longrightarrow \:{ \pmb{\: AB= \sqrt{{( - 8) }^(2) +{(( - 7) - ( - 7)) }^(2) }}}}$

${\longrightarrow \:{ \pmb{\: AB= \sqrt{{( - 8) }^(2) +{( - 7 + 7) }^(2) }}}}$

${\longrightarrow \:{ \pmb{\: AB= \sqrt{{( - 8) }^(2) +{( 0) }^(2) }}}}$

${\longrightarrow \:{ \pmb{\: AB= \sqrt{{( - 8) }^(2) }}}}$

${\longrightarrow \:{ \pmb{\: AB= √(8 * 8 )}}}$

${\longrightarrow \:{ \pmb{\: AB= √(64 )}}}$

${\longrightarrow \:{ \pmb{\: AB= 8 \: units}}}$

Therefore, the distance between the points (3, -7) and (-5, -7) is 8 units.