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

What is the length of CD ? In this diagram ABC EDC ? Please help !!!!-example-1

2 Answers

4 votes

Answer: 4 (apex)

Step-by-step explanation:

User Lotus Notes
by
7.7k points
2 votes
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 :)
User StasVo
by
7.8k points

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