Question

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

Explanation:

Step1: Recall triangle classification

A right - triangle has one angle equal to \(90^{\circ}\). An acute - triangle has all angles less than \(90^{\circ}\). An obtuse - triangle has one angle greater than \(90^{\circ}\).

Step2: Analyze Triangle A

Triangle A has a \(90^{\circ}\) angle.

Step3: Analyze Triangle B

All angles in Triangle B (\(60^{\circ},60^{\circ},60^{\circ}\)) are less than \(90^{\circ}\).

Step4: Analyze Triangle C

Triangle C has a \(90^{\circ}\) angle.

Step5: Analyze Triangle D

Triangle D has an angle of \(115^{\circ}\gt90^{\circ}\).

Answer:

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