Question

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

Explanation:

Step1: Recall angle - type definitions

An acute - angled triangle has all angles less than 90°. A right - angled triangle has one angle equal to 90°. An obtuse - angled triangle has one angle greater than 90°.

Step2: Analyze Triangle A

All angles of Triangle A are 60°. Since 60°<90°, Triangle A is acute.

Step3: Analyze Triangle B

Triangle B has an angle of 90°. So, Triangle B is right.

Step4: Analyze Triangle C

Triangle C has an angle of 110°. Since 110°>90°, Triangle C is obtuse.

Step5: Analyze Triangle D

All angles of Triangle D (50°, 50°, 80°) are less than 90°. So, Triangle D is acute.

Answer:

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