Question

Identify the similar triangles in the figure, then find the value of x.

Answer 1

Part a) ABD and CDE are similar by AA Similarity Postulate

Part b)
`x=18\ units`

Explanation:

we know that

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

In this figure Triangles ABD and CDE are similar by AA Similarity Postulate

`(AB)/(ED)=(BD)/(CD)`

substitute the values

`(x)/(6)=(12)/(4)`

`x=6*12/4=18\ units`