Solution:
It is given that, a scarf is a triangle with two perpendicular sides that are the same length.
So, we can name this triangle as
1. As, length of two sides are equal, so Isosceles Triangle is one name.
2. The angle between two equal sides is of 90 degree. So, Right angled triangle is another name.
Finally , as one angle is of 90 degree, and two sides are equal , so the most appropriate name we can give it, is Isosceles Right angled triangle.