anonymous
  • anonymous
In this plan, segments AB, EF, GH, and JK are perpendicular to base BC. The instructions call for extra pieces of wood to reinforce AE, EG, GJ, and JC. Given AE = 42.2 cm, find EG to the nearest tenth of a centimeter. 42.2 cm , 40.1 cm , 36.6 cm , or 36.9 cm ??
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
In this plan, segments AB, EF, GH, and JK are perpendicular to base BC. The instructions call for extra pieces of wood to reinforce AE, EG, GJ, and JC. Given AE = 42.2 cm, find EG to the nearest tenth of a centimeter. 42.2 cm , 40.1 cm , 36.6 cm , or 36.9 cm ??
anonymous
  • anonymous
Use pythagoras, find AC (158 cm) use the similarity of the triangles => BC/FC = AC/EC find that EC is about 116 cm Same trick GC => GC is 73.7 cm 116-73.7 = EG
anonymous
  • anonymous
So what would be the answer Henkjan? I tried it and I'm confused.

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anonymous
  • anonymous
I'd go with 42.2
anonymous
  • anonymous
thats why I was just going to say.
anonymous
  • anonymous
You can also do it the easier way: |BC|/|FH| = |AC|/|EG|
anonymous
  • anonymous
This is what I came up with 42.41
anonymous
  • anonymous
I got 42.16 if I calculate it at once
anonymous
  • anonymous
Alright thanks, I'm going to stick with 42.2 as the answer then. : )
phi
  • phi
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phi
  • phi
triangle R is congruent to triangle S. Both have equal bases (40 cm in your case), with corresponding angles that are equal. So all 3 sides of triangle R = those of S. In particular, if side AE= 42.2, then side EG= 42.2

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