A triangle has angle measurements of 90°, 31°, and 59°. What kind of triangle is it?acuterightobtuseSubmit

Break Down the Problem

1. Identify the types of triangles based on their angle measurements: acute, right, and obtuse.
2. Analyze the given angles of the triangle: 90°, 31°, and 59°.

Relevant Concepts

1. A triangle is classified as:
   • Acute: all angles less than 90°.
   • Right: one angle equals exactly 90°.
   • Obtuse: one angle greater than 90°.

Analysis and Detail

1. The triangle given has angles of:

   • Angle 1: 90°
   • Angle 2: 31°
   • Angle 3: 59°

   Since one angle is exactly 90°, this indicates that the triangle is not acute or obtuse. The presence of a right angle defines the triangle as a right triangle.

Verify and Summarize

1. The triangle's angles add up to 180°: $90° + 31° + 59° = 180°$
2. The triangle clearly has one right angle.

Final Answer

The triangle is classified as a right triangle.