Question

classify the triangle by its angles. choose your answer...

Explanation:

Step1: Recall angle - based triangle classification

A triangle can be classified by its angles as acute, right, or obtuse. An acute triangle has all angles less than \(90^{\circ}\), a right triangle has one angle equal to \(90^{\circ}\), and an obtuse triangle has one angle greater than \(90^{\circ}\).

Step2: Analyze the given angles

The given angles of the triangle are \(42^{\circ}\), \(64^{\circ}\), and \(74^{\circ}\). We check each angle:

• \(42^{\circ}<90^{\circ}\)
• \(64^{\circ}<90^{\circ}\)
• \(74^{\circ}<90^{\circ}\)

Since all three angles are less than \(90^{\circ}\), the triangle is an acute triangle.

Answer:

acute triangle