Question

classify each triangle as acute, equiangular
1.
2.
4
5.
classify each triangle as equilateral, iso

Explanation:

Step1: Recall Triangle Classification Rules

• Acute: All angles < \(90^\circ\).
• Equiangular: All angles = \(60^\circ\) (a type of acute).
• Obtuse: One angle > \(90^\circ\).
• Right: One angle = \(90^\circ\).

Step2: Classify Triangle 1

Angles: \(60^\circ, 60^\circ, 60^\circ\). All angles = \(60^\circ\) (equiangular, also acute).

Step3: Classify Triangle 2

Angles: \(40^\circ, 45^\circ, 95^\circ\) (sum \(180^\circ\)). \(95^\circ > 90^\circ\) → Obtuse.

Step4: Classify Triangle 4

Angles: \(30^\circ, 65^\circ, 85^\circ\). All < \(90^\circ\) → Acute.

Step5: Classify Triangle 5 (Partial, assume other angle)

Given \(30^\circ\), need third angle. But if other angles (e.g., check if any > \(90^\circ\)). If two angles (e.g., \(30^\circ, x, y\)), but partial. Wait, original problem: Let's re - check.

Wait, the user's problem is to classify triangles. Let's handle each visible:

1. Triangle 1: Angles \(60,60,60\) → Equiangular (Acute).
2. Triangle 2: Angles \(40,45,95\) → Obtuse.
3. Triangle 4: Angles \(30,65,85\) → Acute.
4. Triangle 5: Partial, but if we assume (e.g., if it's an isoceles or has an obtuse angle, but from the visible \(30^\circ\), need more. Wait, maybe the user wants the first few. Let's focus on Triangle 1, 2, 4.

Answer:

1. Equiangular (Acute)
2. Obtuse
3. Acute