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In acute triangle ABC , we know the side lengths AB = sqrt(41) and BC = sqrt(\(31\)) and that altitude BD = 5 . What is AC ?

 Feb 12, 2022
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What is AC ?

 

Hello Guest!

 

Pythagoras twice

\(\overline{AC}=\sqrt{41-25}+\sqrt{31-25}\\ \overline{AC}=\sqrt{16}+\sqrt{6}=4+\sqrt{6}\)

\(\overline{AC}=6.449\)

laugh  !

 Feb 12, 2022

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