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

In the diagram below, BC is an altitude of ABD. To the nearest whole unit, what is-example-1
User Eric Mamet
by
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2 Answers

0 votes

Answer:

Actually the answer is 56, so D.

Explanation:


User Mtjhax
by
7.7k points
4 votes
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
User Lukas Hestermeyer
by
7.5k points
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