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Babynini

  • one year ago

Show that a right triangle whose sides are in arithmetic progression is similar to a 3-4-5 triangle. I'm not even sure what this means o.-

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  1. Babynini
    • one year ago
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    @peachpi haha sorry, me again.

  2. anonymous
    • one year ago
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    I think they're the only 3 consecutive numbers that form a Pythagorean triple. So if you scale the triangle up (like 9, 12, 15) or down (like 0.3-0.4-0.5) you'll have three numbers that are in an arithmetic progression/sequence

  3. anonymous
    • one year ago
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    I guess you're trying to prove that 3n, 4n, and 5n form a sequence |dw:1434072444523:dw|

  4. Babynini
    • one year ago
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    Yeah something like that o.0

  5. anonymous
    • one year ago
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    let me think on it

  6. Babynini
    • one year ago
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    ok :)

  7. anonymous
    • one year ago
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    Solve the quadratic equation for x |dw:1434072802320:dw|

  8. Babynini
    • one year ago
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    x= -1, 3

  9. anonymous
    • one year ago
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    right, so -1 can't be the length of a side, so x = 3, x+ 1 = 4, and x + 2 = 5.

  10. anonymous
    • one year ago
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    and that will follow for any progression you use

  11. Babynini
    • one year ago
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    ah, so that should prove it

  12. anonymous
    • one year ago
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    I believe so

  13. Babynini
    • one year ago
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    fantastic. thank you!

  14. anonymous
    • one year ago
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    you're welcome

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