Can a triangle be acute and scalene?
Understand the Problem
The question is asking whether it is possible for a triangle to have both acute angles (all angles less than 90 degrees) and to be scalene (no sides of equal length). The high-level approach to solve this involves understanding the definitions of acute and scalene triangles and identifying if these properties can coexist in a single triangle.
Answer
Yes
Yes, a triangle can be both acute and scalene.
Answer for screen readers
Yes, a triangle can be both acute and scalene.
More Information
An acute triangle has three angles less than 90 degrees, and a scalene triangle has three sides of different lengths. A triangle can meet both criteria simultaneously.
Tips
Ensure to verify that all angles are less than 90 degrees for it to be acute and all sides are of different lengths for it to be scalene.
Sources
- Acute Scalene Triangle - Properties, Definition, Formulas - Cuemath - cuemath.com
- What are Acute Scalene Triangles? Definition With Examples - Brighterly - brighterly.com
- Can a scalene triangle be an acute triangle? - Study.com - homework.study.com
