highschoolmom2010
  • highschoolmom2010
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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SOLVED
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chestercat
  • chestercat
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highschoolmom2010
  • highschoolmom2010
thats as far as i got
ganeshie8
  • ganeshie8
you may use geometric mean thingy to solve this or similiar triangles
highschoolmom2010
  • highschoolmom2010
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ganeshie8
  • ganeshie8
pick one
highschoolmom2010
  • highschoolmom2010
geometric mean bc im not really good at it
ganeshie8
  • ganeshie8
okay ! memorize this :- AC is the geometric mean of AD and AB AC = geometric mean of 3 and 12
ganeshie8
  • ganeshie8
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highschoolmom2010
  • highschoolmom2010
\[\sqrt{12*3}=\sqrt{36}=6\] like this
ganeshie8
  • ganeshie8
yes !
highschoolmom2010
  • highschoolmom2010
just refreshing on the work we did like a week or so ago
ganeshie8
  • ganeshie8
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)
ganeshie8
  • ganeshie8
lol i was on vacation for 2 weeks. and i remember we doing these back then.. .
highschoolmom2010
  • highschoolmom2010
yea thx @ganeshie8 :D
ganeshie8
  • ganeshie8
np :)

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