Question

FInding the length of EB

Answer 1

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:

$\frac{EB}{CB} =\frac{ED}{AC}$

We substitute to obtain:

$\frac{x}{5} =\frac{4}{6}$

Multiply both sides by 5 to get:

$x=\frac{4}{6}\times 5=\frac{20}{6}=\frac{10}{3}=3.3$