irishchelsc
The figure below shows CB = 8, BE = 12, AB = 3x – 1, and DB = 4x + 2.
Triangle ABC is a right triangle with measure of angle ACB equal to 90 degrees. The measure of side CB is 8 and AB is 3 multiplied by x minus 1. D is a point on the left of C on BC extended. A point E is labeled on AB such that DE is perpendicular to AB. Measure of EB is 12 and DB is 4 multiplied by x plus 2
If △ABC ~ △DBE, the value of x is _________
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irishchelsc
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irishchelsc
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@timo86m
timo86m
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set up a ratio :)
irishchelsc
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i tried that! but I'm not sure if I'm on the right path :/
irishchelsc
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i did 12/3x-1= 8/4x+2
timo86m
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and ;)there is another
timo86m
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8/12
irishchelsc
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alright. I'm lost :(
timo86m
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8/12=(3x-1)/(4x+2)
timo86m
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small side / large size= hypotonuse of small side/ hypotonuse of large size
irishchelsc
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Oh! so just switch it around then solve..?
timo86m
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cross multiply :)
irishchelsc
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i got 2.67...?
timo86m
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lol try again :)
irishchelsc
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okay. so. 8x 4x+2 which is 3x+16
irishchelsc
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12 x 3x-1 which is 36-12
irishchelsc
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3x + 16 = 24
irishchelsc
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minus 16 on both sides
irishchelsc
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3x = 8
irishchelsc
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then the 2.67 :(
timo86m
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8/12 is 2/3
2/3 = (3*x-1)/(4*x+2)
With me so far?
irishchelsc
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okay. so simplify the ratio
timo86m
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Yup :)
8/12=(3x-1)/(4x+2)
2/3 = (3*x-1)/(4*x+2) cuzz 8/12 is 2/3
2=3*(3x-1)/(4x+2) multiply both sides by 3 to have 2 by itself on the lhs(left hand side)
with me stil :)
irishchelsc
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i got 7..?
timo86m
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Yes it was 7 LOL :)
irishchelsc
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WWWAAAHHHOOOOOO!
irishchelsc
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YYYAAAY! thank youu soo much :DD