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Princess07

  • 3 years ago

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 ??

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  1. Princess07
    • 3 years ago
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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. henkjan
    • 3 years ago
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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

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

  4. henkjan
    • 3 years ago
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    I'd go with 42.2

  5. Princess07
    • 3 years ago
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    thats why I was just going to say.

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

  7. Princess07
    • 3 years ago
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    This is what I came up with 42.41

  8. henkjan
    • 3 years ago
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    I got 42.16 if I calculate it at once

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

  10. phi
    • 3 years ago
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    |dw:1324418020350:dw|

  11. phi
    • 3 years ago
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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

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