manzk1k
manzk1k manzk1k
  • 17-02-2020
  • Mathematics
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FInding the length of EB

FInding the length of EB class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 23-02-2020

Answer:

EB=3.3

Step-by-step explanation:

From the diagram, triangle ABC is similar to triangle DBE.

This means that, the corresponding sides are proportional.

It was given that AC=6, DE=4, CB=5.

We want to find EB=x

Since the ratio of corresponding sides are proportional, we have:

[tex]\frac{EB}{CB} =\frac{ED}{AC}[/tex]

We substitute to obtain:

[tex]\frac{x}{5} =\frac{4}{6}[/tex]

Multiply both sides by 5 to get:

[tex]x=\frac{4}{6}\times 5=\frac{20}{6}=\frac{10}{3}=3.3[/tex]

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