Respuesta :

Solution:

As shown in the above figure:

AB = 4m, AD = 8m, AC = 3m, DE = 12m

Problem A:

Ratio of the length AB to the length AD

[tex] →\frac{AB}{AD} = \frac{4}{8} = \frac{1}{2} [/tex]

Ratio = 1:2

Problem B:

The length AE

[tex] \frac{AB}{AD} = \frac{AC}{AE} → \frac{4}{8} = \frac{3}{AE} [/tex]

Cross multiply the above.

[tex]4AE = 24[/tex]

Divide both sides by 4

[tex]AE = 6m[/tex]

Problem C:

The length BC

[tex] \frac{AB}{AD} = \frac{BC}{DE} → \frac{4}{8} = \frac{BC} {12} [/tex]

Cross multiply the above

[tex]8BC = 48[/tex]

Divide both sides by 8

[tex]BC = 6m[/tex]

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