Question

Calcule as distâncias entre os pontos a seguir
a) (1,1) e (4,3)
b) (2,1) e (5,2)

Answer 1

a)

a²=b²+c²
a²=3²+2²
a²=9+4
a²=13
a=√13

b)

a²=b²+c²
a²=3²+1²
a²=9+1
a²=10
a=√10

Answer 2

a)

$\large \boxed{ \begin{array}{l} \sf{d = \sqrt{(1 - 4) {}^{2} + (1 - 3) {}^{2} } } \\ \\ \sf{d = \sqrt{( - 3) {}^{2} + ( - 2) {}^{2} } } \\ \\ \sf{d = \sqrt{9 + 4} } \\ \\ \boxed{ \sf{d = \sqrt{13}} } \blue{ \checkmark} \end{array}}$

b)

$\large \boxed{ \begin{array}{l} \sf{d = \sqrt{(2 - 5) {}^{2} + (1 - 2) {}^{2}} } \\ \\ \sf{d = \sqrt{( - 3) {}^{2} + ( - 1) {}^{2} } } \\ \\ \sf{d = \sqrt{9 + 1} } \\ \\ \boxed{ \sf{d = \sqrt{10} }} \blue{ \checkmark}\end{array}}$