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Use Law Of Sines To Solve Oblique Triangle (The Ambiguous Case SSA - Two Solution)

Fill in the blank:

In triangle ABC, if angle B is right angle and a b then there exist ____ triangles.

 Fill in the blank:

In  triangle PQR, m<R=45 degrees, r=6, and p=8. For two solutions the measure of angle P=

Fill in the blank:

In triangle ABC, if the measure of angle A is acute and b>a>h  then there exist ______ triangles, here h= bsin(A).  

 Is the sentence true or false?

In triangle ABC, if the measure of angle A is obtuse and a >b, then there exist two triangles. 

  In triangle MNO, m<N=35 degree, n=12, and o=18. How many distinct triangles can be drawn with these measurements?"

 For an oblique triangle with side b=5, c=7 and angle B = 25 degrees, find supplementary angle of angle C that lie in triangle.

Is the sentence true or false?

In the ambiguous SSA case of law of sine, if supplementary angle fit in the triangle there exist two triangles.

Is the sentence true or false?

The hypotenuse is always the longest side in a right triangle, So In oblique triangle sinsin (A) = opposite/hypotenous, sinsin(A) ∈[-1,1].

 Is the sentence true or false?

When Ambiguous case SSA results two solutions mean that two distinct triangles exist.

  Fill in the blank:

In the ambiguous SSA case of law of sine, for existence of two solution the sum of given angle should be______.