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Math Help - [SOLVED] Given three angles...

  1. #1
    midnight1001
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    [SOLVED] Given three angles...

    If given an isosceles triangle...with <A=100 <B=40 <C=40, find the measurements of the sides of the triangle.

    Is there any possible way to do this, without knowing a side measurement, if so, please explain in detail.
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  2. #2
    Site Founder Math Help's Avatar
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    Good Question

    In fact there is no way to do this. Given three angles you can not know what the length of the sides are. I will attach a picture of two triangles that have the same angles but different lengths. These are called similar triangles.

    Your problem states that the triangle is isosceles however this, as you may guess, does not help us.

    Great question!
    Attached Thumbnails Attached Thumbnails [SOLVED] Given three angles...-similar-triangles.jpg  
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  3. #3
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    The only information about the sides is the ratio of their lengths. The ratio is the sines of the angles opposite to the sides.
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  4. #4
    vms
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    angles of the triangle are fixed...

    My thought goes like this.....
    A<=100, B<=40, C<=40
    this implies A+B+C<=180, which can be true only when
    A=100, B=40, C=40

    even in this case also, unless one more condition on the triangle is given, it is not possible to find out the lengths of the sides
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