How do you determine the number of possible solutions to solve triangle ABC if A=30^circ, b=18.6, and a=9.3?

1 Answer
Alan P.
Nov 20, 2016

There is exactly one solution.

Explanation:

Given
color(white)("XXX")/_BAC=30^@
and
color(white)("XXX")abs(AC)=18.6

The minimum distance from C to AB
will be the perpendicular from AB through point C

This distance is
color(white)("XXX")sin(30^@) * 18.6=1/2 * 18.6 =9.3

Since this is the distance given as the length of a (abs(CB))
There is only one possible solution.

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