Which of the following situations creates a unique triangle? A) isosceles triangle with one 80^\circ angle, and base angles of 50^\circ B) 90^\circ angle, 4 in. leg, 3 in. leg C…

Question

Which of the following situations creates a unique triangle?

A) isosceles triangle with one
`80^\circ` angle, and base angles of
`50^\circ`
B)
`90^\circ` angle, 4 in. leg, 3 in. leg
C) Triangle with three
`60^\circ` angles
D) A right isosceles triangle

Answer 1

A) isosceles triangle with one
`80^(o)` angle, and base angles of
`50^(o)`

Explanation:

A unique triangle will be produced if you are given: all three sides (Side-Side-Side) two sides and the included angle (Side-Angle-Side) two angles and the included side (Angle-Side-Angle)