Question

Calcular la distancia entre los puntos
(6,10) y (-8, 5)
(7,3) y (-9,4)
(-6,-3) y (5,4)

Answer 1

La distancia entre dos puntos se calcula con la fórmula:

$d = \sqrt{(X2 - X1)^{2}+ (Y2 - Y1)^{2} }$

Distancia entre (6,10) y (-8, 5):

$d = \sqrt{(-8-6)^{2}+(5-10)^{2} } \\d = \sqrt{(-14)^{2}+(-5)^{2} } \\d = \sqrt{196+25}\\d = \sqrt{221}\\d = 14,8660687473$

Distancia entre (7,3) y (-9,4):

$d = \sqrt{(-9-7)^{2}+(4-3)^{2} } \\d = \sqrt{(-16)^{2}+(1)^{2} } \\d = \sqrt{256+1}\\d = \sqrt{257}\\d = 16,0312195419$

Distancia entre (-6,-3) y (5,4):

$d = \sqrt{(5+6)^{2}+(4+3)^{2} } \\d = \sqrt{(11)^{2}+(7)^{2} } \\d = \sqrt{121+49}\\d = \sqrt{170}\\d = 13,0384048104$