What is the distance between (7, 4) and (5, 2) ?
1 Answer
Jun 13, 2017
Explanation:
"to calculate the distance (d) use the "color(blue)"distance formula"
color(red)(bar(ul(|color(white)(2/2)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2))color(white)(2/2)|)))
where(x_1,y_1),(x_2,y_2)" are 2 coordinate points"
"the points are " (x_1,y_1)=(7,4),(x_2,y_2)=(5,2)
"substituting into the formula gives"
d=sqrt((5-7)^2+(2-4)^2)
color(white)(d)=sqrt(4+4)
color(white)(d)=sqrt8
color(white)(d)=sqrt(4xx2)=sqrt4xxsqrt2
color(white)(d)=2sqrt2~~2.828" to 3 decimal places"
