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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
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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 ??
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
So what would be the answer Henkjan? I tried it and I'm confused.

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Other answers:

I'd go with 42.2
thats why I was just going to say.
You can also do it the easier way: |BC|/|FH| = |AC|/|EG|
This is what I came up with 42.41
I got 42.16 if I calculate it at once
Alright thanks, I'm going to stick with 42.2 as the answer then. : )
  • phi
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  • 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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