A SAS triangle is a type of triangle in Euclidean geometry. It is defined by having two sides and the angle between them known. SAS stands for “side-angle-side.”
To construct a SAS triangle, you need to know the length of two sides of the triangle and the angle between them. Here are the steps:
- Draw a straight line segment to represent one of the sides of the triangle.
- Draw a second line segment that is the length of the second side of the triangle, and that makes an angle with the first line segment that is equal to the given angle between them.
- Connect the endpoints of the two line segments to form the third side of the triangle.
For example, let’s say you are given that a triangle has a side of length 5, another side of length 7, and an angle between them of 60 degrees. To construct the triangle:
- Draw a straight line segment AB of length 5.
- Draw a second line segment BC of length 7, and make an angle of 60 degrees with AB. To do this, draw a ray from endpoint B at an angle of 60 degrees to AB.
- Connect the endpoints A and C with a line segment to form the third side of the triangle.
The resulting triangle is a SAS triangle with sides of length 5 and 7, and an included angle of 60 degrees.