ambiguous case
If you know the length of AB, and of BC, and the acute angle at A, you can construct the triangle as follows. Draw AB. From A draw a line making the required angle to AB. Place the point of a compass at B and draw an arc of a circle with radius equal to the required length of BC. Where the line from A and the arc intersect is the position of C. Unless the angle at C is exactly 90° or the given information is inconsistent, there will be two different points of intersection and hence two possible triangles.
ABC1 and ABC2 both satisfy the known conditions in the ambiguous case
- aliquot part
- al-Khwārizmī
- almost all
- almost disjoint
- almost surely
- almost uniform convergence
- alphabet
- alternate angles
- alternating function
- alternating group
- alternating series
- alternating series test
- alternative hypothesis
- altitude
- altitude
- ambiguous case
- AM-GM
- amicable numbers
- amplitude
- AMS
- An
- analog device
- analysis
- analysis of variance
- analysis situs