Question

Find the length and the midpoind of the segment with the given endpointsA(2,3 )and B(5,7)

Answer 1

`Suppose,~a~line~segment~has~midpoints~(x_1,y_1)~and~(x_2,y_2). Then,\\Midpoint~of~the~line = ((x_2+x_1)/(2),(y_2+y_1)/(2))\\Distance = √((x_2-x_1)^2+(y_2-y_1)^2)\\According~ to~ the ~question,\\(x_1,y_1) = A(2,3)\\(x_2,y_2) = B(5,7)\\Midpoint~of~AB = ((2+5)/(2),(3+7)/(2)) = ((7)/(2),5)\\AB = √((5-2)^2+(7-3)^2) = √(3^2+4^2) = 5units`