anonymous
  • anonymous
If BA is a midsegment of triangle XYZ, find x.
Geometry
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1434747793681:dw|
anonymous
  • anonymous
answer selection is A.5 B.6 C.10 D.12
anonymous
  • anonymous

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anonymous
  • anonymous
I see that 5 would be the BA, stuck on how it should be set up
anonymous
  • anonymous
anonymous
  • anonymous
Since BA is a midsegment, BZ is also 5. |dw:1434749558757:dw| The triangles are similar. \[\frac{ XB }{ XZ }=\frac{ BA }{ ZY }\] \[\frac{ 5 }{ 10 }=\frac{ x-1 }{ 10 }\]
mathmate
  • mathmate
"Mid segment" means B and A are mid-points of XZ and XY respectively. Thus XBA and XZY are similar triangles.
anonymous
  • anonymous
do I cross multiply
anonymous
  • anonymous
yes, you can, but you don't really have to. Both denominators are 10, so you can just say 5 = x -1
anonymous
  • anonymous
then add one to both sides which gives me 6
anonymous
  • anonymous
anonymous
  • anonymous
thinking of a similar problem from earlier, so the answer would be 5
anonymous
  • anonymous
The segment BA is 5, but x = 6.

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