Properties of an Acute Triangle

1. Angles: In an acute triangle, all three angles are acute, meaning they measure less than 90 degrees.
2. Side Lengths: Since all the angles are less than 90 degrees, the side opposite each angle is greater in length than the altitude dropped from that vertex.

How to Identify an Acute Triangle

To identify whether a given triangle is acute, you can follow these steps:

• Measure all three angles of the triangle.
• If all the angles measure less than 90 degrees, the triangle is acute.

Study Guide

Here are some key points to remember about acute triangles:

• An acute triangle has three acute angles.
• The sum of the interior angles of an acute triangle is always 180 degrees.
• In an acute triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle.
• Examples of acute triangles include equilateral triangles, isosceles triangles, and scalene triangles, as long as all their angles are acute.