Question

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If AB = 3, AD = 5, and DE = 6, what is the length of ?



3.5
3.6
3.4
4

Answer 1

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Answer 2

The length of BC is
`3.6\ units`

Explanation:

we know that

Triangles ABC and ADE are similar by AAA Theorem

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

In this problem

`(AB)/(AD)=(BC)/(DE)`

substitute the values and solve for BC

`(3)/(5)=(BC)/(6)`

`BC=6*3/5=3.6\ units`