Question

Find the distance between the points (1,5) and (5,8)​

Answer 1

Answer:

Hello mate✔✔✔

Given :-

• x1 = 1
• x2 = 5
• y1 = 5
• y2 = 8

Using Distance Formula,

$\sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \sqrt{ {(5 - 1)}^{2} + {(8 - 5)}^{2} } \\ \sqrt{ {(4)}^{2} + {(3)}^{2} } \\ \sqrt{16 + 9} \\ \sqrt{25} \\ 5$

•°• Distance = 5 units

Hope it helps✔✔✔

Answer 2

$\huge{\mathcal{\fcolorbox{Black}{grey}{Hola\:Mate!}}}$

${\underline{\tt{Applying\:Distance\:Formula:-}}}$

${ \boxed{ \tt\sqrt{(x _{2} - x _{1}) {}^{2} + (y _{2} - y_{1}) {}^{2} } }}$

$\implies{ \tt{ \sqrt{(5 - 1) {}^{2} + (8 - 5) {}^{2} } }} \\ \\ \implies \: { \tt\sqrt{4 {}^{2} - 3 {}^{2} }} \\ \\ \implies { \tt{\sqrt{16 - 9} }} \\ \\ \implies{ \boxed{ \tt{\sqrt{7} }}}$