In the diagram below, BC is an altitude of ABD. To the nearest whole unit, what is the length of CD?

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asked Sep 27, 2017 160k views

2 Answers

Lukas Hestermeyer · Answer 1 · 2017-10-02T01:01:40+0000

For the answer to the question above, I'll show my solution on how you can solve your problem.
AC² + BC² = AB²
5² + 12² = AB²
25 + 144 = AB²
169 = AB²
13 = AB

Triangle ABC is proportional to triangle ADB.

AC = AB
AB AD

5 = 13
13 AD

5AD = 169

AD = 169/5

AD = 33.8

AD = AC + CD

33.8 = 5 + CD
So the answer is

CD = 28.8

In the diagram below, BC is an altitude of ABD. To the nearest whole unit, what is the length of CD?

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