How do you determine whether #triangle ABC# has no, one, or two solutions given #A=44^circ, a=14, b=19#?

Answer 1

Compute the height of the triangle:

#h = bsin(A)#
#h = 19sin(44^@)#
#h ~~ 13.2#
We have the situation were #h < a < b#:
#13.2 < 14 < 19#

As you can see from the reference for the The Law of Sines -Ambiguous Case, this means that there are 2 possible triangles.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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