anonymous
  • anonymous
The triangle shown in subdivided into two additional triangles. All three triangles are similar. Complete and solve the proportion. Simplify radical answers. can some one help???
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1371517638783:dw|
anonymous
  • anonymous
|dw:1371517773904:dw|
anonymous
  • anonymous
the proportion is 4/h = ?/9

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whpalmer4
  • whpalmer4
\[\frac{4}{h} = \frac{h}{9}\]
anonymous
  • anonymous
ik i multiply 4 and 9 but what do i do after that
whpalmer4
  • whpalmer4
you can come up with that proportion in at least two different ways: 1) side length 4 to side length h on same triangle 2) side length 4 to side length h on other triangle
anonymous
  • anonymous
and since they're all 90 degree triangles, you can determine the 3rd side of the 2 smaller triangles and use those to determine the missing 2 sides of the larger triangle by using proportions
whpalmer4
  • whpalmer4
cross-multiply: \[4*9 = h*h\]\[36=h^2\]Can you find \(h\)?
anonymous
  • anonymous
its 6 thankyou
whpalmer4
  • whpalmer4
Yes, the value of h is 6. Now can you find the other triangle sides?
anonymous
  • anonymous
all i needed was h but thakyou though
whpalmer4
  • whpalmer4
yes, but can you do it? Maybe you don't need to this time, but there will be a problem in your future where you do :-)
anonymous
  • anonymous
well maybe i guess lol

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