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how to solve a(1,4) b(5,5) c(2,2) and d(-5,1) E(-1,0) f(-4,3) using distance formula

0 votes

how to solve a(1,4) b(5,5) c(2,2) and d(-5,1) E(-1,0) f(-4,3) using distance formula

asked Nov 28, 2013 in GEOMETRY by johnkelly Apprentice

1 Answer

+1 vote

Given points are a(1,4),b(5,5),c(2,2),d(-5,1)e(-1,0)f(-4,3)

a(1,4) b(5,5)

Distance between ab = sqrt[(5-1)^2+(5-4)^2]

= Sqrt(16+1) = sqrt(17)

b(5,5) c(2,2)

bc = sqrt[(2-5)^2+(2-5)^2]

bc = sqrt(9+9) = sqrt(18)

c(2,2) d(-5,1)

cd = sqrt[(-5-2)^2+(1-2)^2]

=sqrt[49+1] = sqrt(50)

d(-5,1) e(-1,0)

de = Sqrt[(-1+5)^2+(0-1)^2]

= sqrt[16+1] = sqrt(17)

e(-1,0) f(-4,3)

ef = sqrt[(-4+1)^2+(3-0)^2]

= sqrt[9+9] = sqrt(18)

f(-4,3) a(1,4)

fa = sqrt[(1+4)^2+(4-3)^2]

= sqrt(25+1)

= sqrt (26)

We can observe here the distance between ab and de is equal.

the distance between bc and ef is equal.

answered Feb 5, 2014 by david Expert
correct answer.

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