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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
- ?Lv 61 decade agoFavorite 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
- vingingeLv 71 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.
- Anonymous1 decade ago
to fix a triangle exactly - you need at least either 2 sides and included angle or two angles and included side.
- Anonymous1 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