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harrym

  • 2 years ago

I have 3 questions and I have a pretty good idea of an answer for some of them but im not 100% sure if they are right so ill see if I get the same answer: 1. If bh=42 what is de 2.If ab=36 what is jf 3.If ab=36 what is ke

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  1. sterna
    • 2 years ago
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    Do you have a diagram to go with this question?

  2. harrym
    • 2 years ago
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    Yea I posted an attachment ill repost it

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  3. sterna
    • 2 years ago
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    thanks - didn't see it before

  4. harrym
    • 2 years ago
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    I think it was my fault so dont worry hahah

  5. sterna
    • 2 years ago
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    looks like you've got 6 congruent segments across the bottom with a total length of 42, so what do you think DE equals?

  6. harrym
    • 2 years ago
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    I believe de = 7 but Its important that I get it right so thats why I posted this

  7. sterna
    • 2 years ago
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    yep

  8. sterna
    • 2 years ago
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    Now for the others. You have a triangle with one side of 36 (that's AB) and another side of 42 (BH). All the other triangles as you move across from left to right are similar to the biggest triangle (ABH.) Are you with me?

  9. harrym
    • 2 years ago
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    Yea

  10. sterna
    • 2 years ago
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    Since all the triangles are similar, the proportions of their sides are the same. So 36/42, which reduces to 6/7, is a common proportion in all of the triangles. For example, triangle JFH

  11. sterna
    • 2 years ago
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    has a base of 14 (7*2) so to find jf, set up a proportion of 6/7=x/14 to get JF.

  12. sterna
    • 2 years ago
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    so JF would be?

  13. harrym
    • 2 years ago
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    12

  14. sterna
    • 2 years ago
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    good! Now do the same thing for KE. Figure the length of the base of triangle KEH and solve the proportion

  15. sterna
    • 2 years ago
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    you doing OK?

  16. harrym
    • 2 years ago
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    Yea I got 18 but im not really sure if its right

  17. sterna
    • 2 years ago
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    that's what I got as well: x/21=6/7. x=18 I think you've got it!

  18. harrym
    • 2 years ago
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    Alright well thank you so much!

  19. sterna
    • 2 years ago
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    my pleasure!

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