Question

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

Explanation:

Step1: Analyze Triangle A

Sum of angles: \(75^\circ + 55^\circ + 50^\circ = 180^\circ\). All angles \(< 90^\circ\), so acute.

Step2: Analyze Triangle B

Has a right angle (\(90^\circ\)), so right triangle.

Step3: Analyze Triangle C

One angle \(110^\circ > 90^\circ\), so obtuse.

Step4: Analyze Triangle D

Sum: \(30^\circ + 80^\circ + 70^\circ = 180^\circ\). All angles \(< 90^\circ\), so acute.

Answer:

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