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Fill in the blank:
In triangle ABC, if angle B is right angle and a ≥ b then there exist ____ triangles.
No triangle
One triangle
Two triangles
One or two triangles
In triangle PQR, m<R=45 degrees, r=6, and p=8. For two solutions the measure of angle P=
70.5
degree
60
90.5
110
In triangle ABC, if the measure of angle A is acute and b>a>h then there exist ______ triangles, here h= bsin(A).
None
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.
True
False
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.
125 degrees
143.7 degrees
105 degrees
80 degrees
In the ambiguous SSA case of law of sine, if supplementary angle fit in the triangle there exist two triangles.
The hypotenuse is always the longest side in a right triangle, So In oblique triangle sinsin (A) = opposite/hypotenous, sinsin(A) ∈[-1,1].
When Ambiguous case SSA results two solutions mean that two distinct triangles exist.
In the ambiguous SSA case of law of sine, for existence of two solution the sum of given angle should be______.
Less than 180 degrees
Equal to 180 degrees
Greater than 180 degrees
It is done.