Find the distance between the points (a,a) and (2a,2a)

Question

asked Jan 10, 2024 114k views

1 Answer

Markus Schumann · Answer 1 · 2024-01-15T00:28:24+0000

Formula to find the distance between two points is given by -

$\small \underline{ \boxed{ \sf{ \pmb{ Distance = √( (y_2 -y_1)^2 + (x_2-x_1)^2)}}}}\\$

As per question, points are -

On substituting the values :-

$\longrightarrow \sf {Distance(AB) = √( (2a-a)^2 + (2a-a)^2 )}\\$

$\longrightarrow \sf {Distance (AB)= √( a^2 + a^2 )}\\$

$\longrightarrow \sf {Distance(AB) = √( 2a^2 )}\\$

$\longrightarrow \sf {Distance (AB)= √( 2) * √(a^2 )}\\$

$\longrightarrow \sf {Distance(AB) = √( 2) * a }\\$

$\longrightarrow \boxed{ \tt{ \pmb{ \red{Distance(AB) = √( 2) * a }}}}\\$

$\\ \therefore \underline{ \cal{ \pmb{The \:distance \: of \: the\: two \:points \: is \: \frak{\purple{ √(2)* a}. }}}}\\$