Question

A triangle forms the front of the Pantheon in Rome, Italy. Classify the triangle based on its sides. Then classify it based on its angles.

Answer 1

Answer:

(See explanation for further details)

Step-by-step explanation:

Classification based on sides:

Equilateral - Three sides with same length.

Isosceles - Two sides with same length.

Scalene - No sides with same length.

Classification based on sides:

Acute-Angled - All angles are acute. $(0^{\circ} < \theta < 90^{\circ}, 0^{\circ} < \alpha < 90^{\circ}, 0^{\circ} < \beta < 90^{\circ}, \theta + \alpha + \beta = 180^{\circ})$

Right-Angled - One angle is right. $(0^{\circ} < \theta < 90^{\circ};\alpha = 90^{\circ}, 0^{\circ} < \beta < 90^{\circ}, \theta + \alpha + \beta = 180^{\circ})$

Obtuse-Angled - One angle is obtuse. $(0^{\circ} < \theta < 90^{\circ},90^{\circ}$