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Princess07 Group Title

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 ??

  • 2 years ago
  • 2 years ago

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  1. Princess07 Group Title
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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 ??

    • 2 years ago
  2. henkjan Group Title
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    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

    • 2 years ago
  3. Princess07 Group Title
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    So what would be the answer Henkjan? I tried it and I'm confused.

    • 2 years ago
  4. henkjan Group Title
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    I'd go with 42.2

    • 2 years ago
  5. Princess07 Group Title
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    thats why I was just going to say.

    • 2 years ago
  6. henkjan Group Title
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    You can also do it the easier way: |BC|/|FH| = |AC|/|EG|

    • 2 years ago
  7. Princess07 Group Title
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    This is what I came up with 42.41

    • 2 years ago
  8. henkjan Group Title
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    I got 42.16 if I calculate it at once

    • 2 years ago
  9. Princess07 Group Title
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    Alright thanks, I'm going to stick with 42.2 as the answer then. : )

    • 2 years ago
  10. phi Group Title
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    |dw:1324418020350:dw|

    • 2 years ago
  11. phi Group Title
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    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

    • 2 years ago
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