In this video, I demonstrate how to use trigonometry and Pythagoras' Theorem for find the long side of a triangle, with the 2 shorter sides of 2.0m and 3.0m and the angle between them of 135˚ given.
The triangle in this problem is a scalene triangle (3 different angles, and 3 unequal angles). Our task is to find the length of the longest side.
Without knowing, the law of cosines, we need to convert this triangle into a right-angle triangle . We can do that by augmenting it with a 45˚-45˚-90˚ triangle.
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