What can be said about the length of the third side and measure of the remaining angles of the triangle?
We can conclude that the triangles are congruent.
Practice makes perfect
Given two sides and an included angle of a triangle, the endpoints of the third side, A and B in the diagram below, are fixed.
By the Two Point Postulate, we know that there exists only one line that passes through any two given points. The segment of that line which passes through the fixed endpoints will be the third side of the triangle. This means that the triangles are congruent.
