Question

are the triangles below acute, obtuse, or right? triangle a triangle b triangle c triangle d

Explanation:

Step1: Define triangle types

• Acute triangle: All angles < \(90^{\circ}\)
• Right triangle: One angle = \(90^{\circ}\)
• Obtuse triangle: One angle > \(90^{\circ}\)

Step2: Analyze Triangle A

Angles \(50^{\circ}\), \(55^{\circ}\), \(75^{\circ}\) (since \(180-(50 + 55)=75\)). All < \(90^{\circ}\) → Acute

Step3: Analyze Triangle B

One angle = \(90^{\circ}\) (right - angle symbol). → Right

Step4: Analyze Triangle C

One angle \(110^{\circ}>90^{\circ}\) → Obtuse

Step5: Analyze Triangle D

One angle = \(90^{\circ}\) (right - angle symbol). → Right

Answer:

Triangle A: Acute, Triangle B: Right, Triangle C: Obtuse, Triangle D: Right