Question

select the best classification for the triangle by its angles and sides. acute, isosceles obtuse, scalene acute, scalene acute, equilateral

Explanation:

Step1: Determine angle - type

Since two angles are \(68^{\circ}\), the third angle is \(180^{\circ}- 2\times68^{\circ}=180^{\circ}-136^{\circ} = 44^{\circ}\). All angles (\(68^{\circ},68^{\circ},44^{\circ}\)) are less than \(90^{\circ}\), so it is an acute - angled triangle.

Step2: Determine side - type

Two angles are equal (\(68^{\circ}\)), so the sides opposite these equal angles are equal. Thus, it is an isosceles triangle.

Answer:

Acute, isosceles