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
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highschoolmom2010
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thats as far as i got
ganeshie8
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you may use geometric mean thingy to solve this
or
similiar triangles
highschoolmom2010
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|dw:1375881597965:dw|
ganeshie8
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pick one
highschoolmom2010
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geometric mean bc im not really good at it
ganeshie8
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okay ! memorize this :-
AC is the geometric mean of AD and AB
AC = geometric mean of 3 and 12
ganeshie8
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|dw:1375881740808:dw|
highschoolmom2010
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\[\sqrt{12*3}=\sqrt{36}=6\]
like this
ganeshie8
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yes !
highschoolmom2010
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just refreshing on the work we did like a week or so ago
ganeshie8
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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
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lol i was on vacation for 2 weeks. and i remember we doing these back then.. .
highschoolmom2010
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yea thx @ganeshie8 :D
ganeshie8
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np :)