State whether the given measurements determine zero, one, or two triangles.
-$$\mathrm { A } = 43 ^ { \circ } , \mathrm { a } = 4 , \mathrm {~b} = 16$$
A) Two
B) Zero
C) One

Question

Quizplus · Accepted Answer

The given measurements suggest an ambiguous case (SSA) where angle A is acute and side a is shorter than side b. Using the law of sines, side a is too short to form a triangle with the given angle and side b, resulting in zero triangles.

State Whether the Given Measurements Determine Zero, One, or Two A=43∘,a=4, b=16\mathrm { A } = 43 ^ { \circ } , \mathrm { a } = 4 , \mathrm {~b} = 16A=43∘,a=4, b=16

State Whether the Given Measurements Determine Zero, One, or Two $\mathrm { A } = 43 ^ { \circ } , \mathrm { a } = 4 , \mathrm {~b} = 16$