Geometry

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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 ?

Guest Feb 12, 2022

asinus · Answer 1 · 2022-02-12T07:43:53

What is AC ?

Hello Guest!

Pythagoras twice

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

$\overline{AC}=6.449$

!