Question

What is the length of CD ? In this diagram ABC EDC ?
Please help !!!!

Answer 1

Answer: 4 (apex)

Step-by-step explanation:

Answer 2

Answer:
CD = x = 4 units

Step-by-step explanation:
We are given that the two triangles are similar. This means that we can set the similarity proportionality as follows:

`(BC)/(CD) = (CA)/(CE) = (AB)/(ED)`

W e have:
BC = 20 - x
AC = 20
CD = x
CE = 5

Substitute in the above proportionality and solve for x as follows:

`(20-x)/(x) = (20)/(5) = 4`

4x = 20 - x
5x = 20
x = 4

Based on he above:
CD = 4 units
BC = 20 - x = 20 - 4 = 16 units

Hope this helps :)