anonymous
  • anonymous
triangle help plz
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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nerdyotter
  • nerdyotter
Okay. What's your question?
anonymous
  • anonymous
|dw:1439402369884:dw| Given that:AB-8 BC=3 DE=13 BD=x What is the value of xx?
anonymous
  • anonymous
@ganeshie8 @Hero @pooja195

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nerdyotter
  • nerdyotter
I'd say just set up a ratio between the corresponding sides of the triangle and use substitution to find the value of x, then multiply x by itself.
anonymous
  • anonymous
ok imma be real with u but i only got x part and multiply it now slow down and explain
anonymous
  • anonymous
@heretohelpalways
nerdyotter
  • nerdyotter
If you'll notice, since triangle ABC and triangle ADE both share point A, they are similar triangles. This means that we can set up a proportion between sides AB and AD, and sides BC and DE.
nerdyotter
  • nerdyotter
It would look like this, \[\frac{ AB }{ AD } = \frac{ BC }{ DE }\] This is a proportion between the side lengths of the smaller and larger triangles. Now all you have to do is substitute to find the value of x. I'll explain further.
nerdyotter
  • nerdyotter
Since AB is 8, we would substitute that value in for the proportion. This continues with the other values until we arrive at... \[\frac{ 8 }{ 8 + x } = \frac{ 3 }{ 13 }\] All you have to do now is cross multiply and you'll be able to find the value of x.
anonymous
  • anonymous
wht pellet im fried im lost again ahhhhhhhh my brain
nerdyotter
  • nerdyotter
@jamesr Where have you been able to follow up to?
anonymous
  • anonymous
the part where it would look like ...
nerdyotter
  • nerdyotter
Are you talking about the proportion I set up? The second proportion I set up is the same as the first one. All I did was substitute in values. In simpler terms, if we're trying to find... \[\frac{ AB }{ AE } = \frac{ BC }{ DE }\] This proportion is the exact same as... \[\frac{ 8 }{ 8 + x } = \frac{ 3 }{ 13 }\] The only thing the second proportion is doing is substituting in the values of AB, AE, BC, and DE.

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