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Construction of a Line Segment

Points A, B, ...

Question

Points A, B, C, and D lie on a line segment as shown. If AB:BC is 1:3 and BC:CD is 7:5, then find AC:BD.

9:7

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7:9

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7:4

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4:7

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Solution

The correct option is B 7:9

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Similar questions

A B : B C = 1 : 2

B C : C D = 8 : 5

A B : B D

Δ A B C

D

B C

A C = 3

A D = 3

B D = 8

C D = 1

A B

A B C,

D

B C

A B + B D = A C + C D

B, C,

Δ A B D

Δ A C D

A B = A C

\times

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