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

Question

Nataly_w [17]

3 years ago

12

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

ts angles.

Mathematics

1 answer:

SVETLANKA909090 [29] · Answer 1 · 2022-08-15T19:29:14+03:00

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. $(0^{\circ} < \theta < 90^{\circ},90^{\circ}$