Babynini
  • Babynini
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.-
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Babynini
  • Babynini
@peachpi haha sorry, me again.
anonymous
  • anonymous
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
anonymous
  • anonymous
I guess you're trying to prove that 3n, 4n, and 5n form a sequence |dw:1434072444523:dw|

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Babynini
  • Babynini
Yeah something like that o.0
anonymous
  • anonymous
let me think on it
Babynini
  • Babynini
ok :)
anonymous
  • anonymous
Solve the quadratic equation for x |dw:1434072802320:dw|
Babynini
  • Babynini
x= -1, 3
anonymous
  • anonymous
right, so -1 can't be the length of a side, so x = 3, x+ 1 = 4, and x + 2 = 5.
anonymous
  • anonymous
and that will follow for any progression you use
Babynini
  • Babynini
ah, so that should prove it
anonymous
  • anonymous
I believe so
Babynini
  • Babynini
fantastic. thank you!
anonymous
  • anonymous
you're welcome

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