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Sveta_85 [38]
3 years ago
10

In the diagram, what is AC?

Mathematics
2 answers:
hoa [83]3 years ago
8 0

Answer:

the answer is 10

Step-by-step explanation:

I had the same question asked before

cestrela7 [59]3 years ago
6 0
|AC|=\sqrt{|AD|^2+|CD|^2}\\
|CD|=8\\
|AD|=?\\\\
|AD|=|AB|-|BD|=21-|BD|\\
|BD|=\sqrt{|CB|^2-|CD|^2}\\
|BD|=\sqrt{17^2-8^2}\\
|BD|=\sqrt{289-64}\\
|BD|=\sqrt{225}\\
|BD|=15\\\\
|AD|=21-15\\
|AD|=6\\\\
|AC|=\sqrt{6^2+8^2}\\
|AC|=\sqrt{36+64}\\
|AC|=\sqrt{100}\\
|AC|=10
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