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lawls Group Title

If the sides of a right triangle have lengths of x-7, x an x+1, then x= (a) (1, 7) (b) (7, -1) (c) (7, 4) (d) (7, 12) (e) (4, 12)

  • 2 years ago
  • 2 years ago

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  1. sauravshakya Group Title
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    first tell me which is the longest side

    • 2 years ago
  2. sauravshakya Group Title
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    x-7,x,x+1....... what do u thik have the biggest value

    • 2 years ago
  3. ParthKohli Group Title
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    Hint: Work with the dearest Pythagorean Theorem.

    • 2 years ago
  4. sauravshakya Group Title
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    But beofre using Pythagorean Theorem.. u must find the longest side

    • 2 years ago
  5. Calcmathlete Group Title
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    Obviously, x + 1 would be the largest side and therefore the hypotenuse because of the + 1 while x is neutral and -7 is negative. THerefore, now use Pythagorean THeorem. \[c^2 = a^2 + b^2\]\[(x + 1)^2 = x^2 + (x - 7)^2\]\[x^2 + 2x + 1 = x^2 + x^2 - 14x + 49\]\[x^2 + 2x + 1 = 2x^2 - 14x + 49\]\[0 = x^2 - 16x + 48\]Can you figure out how to solve the4 quadratic from here?

    • 2 years ago
  6. ParthKohli Group Title
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    Yes sir! Yes sir!

    • 2 years ago
  7. lawls Group Title
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    i got x = 4, 12

    • 2 years ago
  8. lawls Group Title
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    so answer choice (e) is right?

    • 2 years ago
  9. ParthKohli Group Title
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    You, sir, are totally correct!

    • 2 years ago
  10. Calcmathlete Group Title
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    Kinda ironic since 12 is the only true solution, but whatever works ^_^

    • 2 years ago
  11. lawls Group Title
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    thanks

    • 2 years ago
  12. Calcmathlete Group Title
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    np :)

    • 2 years ago
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