Question

Select all the choices that apply to △ABC with: ∠A=42°, ∠B≠∠C, all angles are acute; AB=4, BC=3. Options:

A) Obtuse
B) Acute
C) Scalene
D) Isosceles
E) ASA
F) AAS
G) SSA

Answer 1

The given triangle △ABC with specific angle measures and side lengths is acute, scalene, and can be solved using the AAS method.

Step-by-step explanation:

The given triangle △ABC has ∠A = 42° and all angles are acute. We are also given that ∠B≠∠C. Additionally, the side lengths are AB = 4 and BC = 3.

Based on these conditions, the correct choices applicable to △ABC are:

1. △ABC is acute because all angles of the triangle are acute.
2. △ABC is scalene because no sides are equal in length.
3. △ABC can be solved using the AAS (Angle-Angle-Side) method if we know the measures of two angles and the length of one side.