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Find the distance between point (-1, -3) and the midpoint of the line segment joining (2, 4) and (4, 6).

1 Answer

4 votes

Answer:


d=4√(5)

Explanation:

Midpoint Formula:
((x_1+x_2)/(2) ,(y_1+y_2)/(2) )

Distance Formula:
d=√((x_2-x_1)^2+(y_2-y_1)^2)

Step 1: Find midpoint m


m=((2+4)/(2) ,(4+6)/(2) )


m=((6)/(2) ,(10)/(2) )


m=(3 ,5 )

Step 2: Find distance d


d=√((3-(-1))^2+(5-(-3))^2)


d=√((3+1)^2+(5+3)^2)


d=√((4)^2+(8)^2)


d=√(16+64)


d=√(80)


d=4√(5)

User RazvanParautiu
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