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Math Help - [SOLVED] Rational Restrictions of a Triangle?

  1. #1
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    [SOLVED] Rational Restrictions of a Triangle?

    Hi, i have a question on the restrictions of this triangle. The side lengths for a triangle are 2x+3, 3x-5 an x+5. The triangle is scalene. I've included a picture below. The restrictions on a triangle can't be as simple as solving for x for each side can it? The question asks: For what values of x is the triangle possible?

    Thanks.
    Last edited by demo1; February 24th 2009 at 05:22 PM.
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  2. #2
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    Quote Originally Posted by demo1 View Post
    Hi, i have a question on the restrictions of this triangle. The side lengths for a triangle are 2x+3, 3x-5 an x+5. The triangle is isosceles. I've included a picture below. The restrictions on a triangle can't be as simple as solving for x for each side can it? The question asks: For what values of x is the triangle possible?

    Thanks.
    no picture

    what two sides are equal?
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  3. #3
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    Sorry, the triangle is scalene. And I've just uploaded the picture. Thanks for pointing it out.
    Attached Thumbnails Attached Thumbnails [SOLVED] Rational Restrictions of a Triangle?-math-triangle.jpg  
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  4. #4
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    any two sides of a triangle must sum to be greater than the third side ...

    (2x+3) + (3x-5) > x+5

    (2x+3) + (x+5) > 3x-5

    (3x-5) + (x+5) > 2x+3

    solve all three inequalities and find the intersection of their solution sets to determine all possible values for x.
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  5. #5
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    I think i got it. Thanks!
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