Question

Determine a distância entre os pontos A e B nos seguintes casos :
a) A(1,-5) e B(6,-2)
b) A(1,2) E B(4,6)
por favor me ajudem, é pra amanhã!!

Answer 1

Olá !


Muito fácil calcular distâncias :

I ) A( 1 , -5 ) B( 6 , - 2 )


$Dab =\sqrt{(Xb - Xa )^{2} + (Yb - Ya)^{2}} \\\\\\ Dab =\sqrt{(6 - 1)^{2} + ((-2) - (-5))^{2}} \\\\\\ Dab =\sqrt{5^{2} + 3^{2}} \\\\\\ Dab =\sqrt{25 + 9} \\\\\\Dab =\sqrt{34~~u.a}$





I I ) A( 1 , 2 ) B( 4 , 6 )


$Dab =\sqrt{(Xb - Xa)^{2} + (Yb - Ya )^{2}} \\\\\\ Dab =\sqrt{(4 - 1)^{2} + (6 - 2)^{2}} \\\\\\ Dab =\sqrt{3^{2} + 4^{2}} \\\\\\ Dab =\sqrt{9 + 16} \\\\\\ Dab =\sqrt{25} \\\\\\ Dab = 5~~u.a$


Resposta :


A) √34 u.a

B) 5 u.a