State whether the given measurements determine zero, one, or two triangles.
-$$\mathrm { C } = 30 ^ { \circ } , \mathrm { a } = 20 , \mathrm { c } = 10$$
A) Zero
B) One
C) Two

Question

Quizplus · Accepted Answer

The given measurements determine one triangle because angle C is acute, and side a is longer than side c, which satisfies the conditions for the existence of a unique triangle in the SSA (Side-Side-Angle) case.

State Whether the Given Measurements Determine Zero, One, or Two C=30∘,a=20,c=10\mathrm { C } = 30 ^ { \circ } , \mathrm { a } = 20 , \mathrm { c } = 10C=30∘,a=20,c=10

State Whether the Given Measurements Determine Zero, One, or Two $\mathrm { C } = 30 ^ { \circ } , \mathrm { a } = 20 , \mathrm { c } = 10$