An acute isosceles triangle is a type of triangle that has two sides of equal length and all three of its internal angles measuring less than 90 degrees.
To break it down further:
- Acute: This term refers to the angles of the triangle. An acute angle is one that is less than 90 degrees. In an acute triangle, all angles are acute.
- Isosceles: This describes the sides of the triangle. An isosceles triangle has at least two sides that are of equal length, which also means that the angles opposite those sides are equal as well.
In summary, an acute isosceles triangle combines these two features: it not only has two equal sides, but every angle inside the triangle is also less than 90 degrees. A classic example of an acute isosceles triangle can be visualized with its base at the bottom and the two equal sides rising up to meet at a point at the top, forming a sharp peak with all internal angles forming a triangle that is ‘pointy’ rather than ‘flat’ or ‘wide’.