precal
  • precal
Isosceles Triangle Problem
Mathematics
katieb
  • katieb
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precal
  • precal
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precal
  • precal
anonymous
  • anonymous
\(\Delta BDE\) and \(\Delta CDF\) are similar. You know this because angles \(\angle ABC\) and \(\angle ACB\) are congruent, and they are both right triangles, so the remaining angles \(\angle BDE\) and \(\angle CDF\) must also be congruent.

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precal
  • precal
Did I mention I can't use a calculator at all?
precal
  • precal
so what do I do now?
Nnesha
  • Nnesha
i don't think we need a calculator for this question hmmmm according to what he/she said: we can set up a proportion: i was looking at this link ( http://www.mathplanet.com/education/geometry/similarity/triangles ) : if the triangles are similar then their corresponding sides are proportional
Nnesha
  • Nnesha
|dw:1444252141871:dw| we can separate both right triangles |dw:1444252199454:dw| \[\huge\rm \frac{ BD }{ CD } = \frac{ DE }{ DF}\] given `DE : DF ` 5:7 and bec BD/CD is equal to DE/DF we can say the ratio of `BD :CD` is also 5:7
Nnesha
  • Nnesha
make sense or not ?? hmmmm
Nnesha
  • Nnesha
BD : CD = 5 :7 BD/CD = 5/7 and we know BD + CD = 48 suppose BD = 5y and CD = 7 y |dw:1444254518735:dw|

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