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:

• Triangle A: Since one angle (\(101^{\circ}\)) is greater than \(90^{\circ}\), it is an obtuse triangle.
• Triangle B: All angles (\(30^{\circ}, 50^{\circ}, 100^{\circ}\)) are less than \(90^{\circ}\), so it is an acute triangle.
• Triangle C: It has a \(90^{\circ}\) angle, so it is a right triangle.
• Triangle D: All angles (\(50^{\circ}, 60^{\circ}, 70^{\circ}\)) are less than \(90^{\circ}\), making it an acute triangle.

Answer:

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