What is a triangle and how many sides does it have?
A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry. The corners are called vertices while the sides connecting them are called edges.
Questions about Triangle
Short answers, pulled from the story.
How do you calculate the area of a triangle using base and height?
The area of a triangle equals one-half the product of height and base length. This formula can be proven by cutting up the triangle and an identical copy into pieces to form a rectangle.
What are the different types of triangles based on side lengths?
An equilateral triangle has all sides of the same length, an isosceles triangle has two sides of the same length, and a scalene triangle has three different-length sides. These definitions date back at least to Euclid.
Where can you find triangles in man-made construction and flags?
Isosceles triangles appear in gables and pediments while equilateral triangles appear in yield signs. Triangles also appear in heraldic symbols such as the flag of Saint Lucia and the flag of the Philippines.
How do angles differ between Euclidean hyperbolic and spherical triangles?
Internal angles of a Euclidean triangle always add up to 180 degrees. A hyperbolic triangle has internal angles summing to less than 180 degrees while a spherical triangle sums to more than 180 degrees.