a right triangle ABC, C is the right angle and CD is the altitude drawn to the hypotenuse. If AD =3 and BD=9 what is AC? show work

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a right triangle ABC, C is the right angle and CD is the altitude drawn to the hypotenuse. If AD =3 and BD=9 what is AC? show work

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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thats as far as i got
you may use geometric mean thingy to solve this or similiar triangles
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geometric mean bc im not really good at it
okay ! memorize this :- AC is the geometric mean of AD and AB AC = geometric mean of 3 and 12
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\[\sqrt{12*3}=\sqrt{36}=6\] like this
yes !
just refreshing on the work we did like a week or so ago
here is the rule :- Each leg of a right triangle is the 'geometric mean' between the hypotenuse(12) and the segment of hypotenuse adjacent to the given leg(3)
lol i was on vacation for 2 weeks. and i remember we doing these back then.. .
yea thx @ganeshie8 :D
np :)

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