State whether the given measurements determine zero, one, or two triangles.
-$$\mathrm { A } = 53 ^ { \circ } , \mathrm { a } = 21 , \mathrm {~b} = 22$$
A) One
B) Zero
C) Two

Question

Quizplus · Accepted Answer

Given A = 53°, a = 21, and b = 22, we use the Law of Sines to determine the possibility of triangles. Since b > a and A is given, there's a possibility of two triangles because the angle opposite the longer side (b) can be acute, leading to two different angles for B, thus creating two different triangles.

State Whether the Given Measurements Determine Zero, One, or Two A=53∘,a=21, b=22\mathrm { A } = 53 ^ { \circ } , \mathrm { a } = 21 , \mathrm {~b} = 22A=53∘,a=21, b=22

State Whether the Given Measurements Determine Zero, One, or Two $\mathrm { A } = 53 ^ { \circ } , \mathrm { a } = 21 , \mathrm {~b} = 22$