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What is the length of line AC?

In a triangle in which the angles are 80 degrees (A) , 70 degrees(B) and 30 degrees(C) how do i figure out the length of the line between A and C?

4 Answers

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  • ?
    Lv 6
    1 decade ago
    Favorite Answer

    It is impossible to answer this unless you have the length of at least one of the other sides as there are an infinite number of solutions (similar triangles and all that!).

    If you have the length of one of the sides, you would use the sine rule to solve it:

    A/SinA = B/SinB = C/SinC

    Where side length A is opposite angle A, etc

  • 1 decade ago

    You can't.

    You need to be given the length of one side or another key length to be able to determine the length of AC.

    With the given angles, the triangle can be simply enlarged or reduced to a similar triangle of any size.

  • Anonymous
    1 decade ago

    to fix a triangle exactly - you need at least either 2 sides and included angle or two angles and included side.

  • Anonymous
    1 decade ago

    There would be an infinity of answers,as you do not give the length of any one side.

    The formula is A/SinA= B/SinB= C/SinC

    or A/Sin80=B/Sin70=C/Sin30

    Source(s): Intermediate maths
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