Triangles: The Side-Angle Relationship

**Triangles: The Side-Angle Relationship**

What is the relationship between side B and angle

*x*in the triangle below?

**Remember that the interior angles of a triangle add up to 180 degrees.**

In this triangle, we then have 90 + 60 +

*x*= 180

=> 150 +x= 180

=>x^{ }=180 - 150

=>x= 30

So, the smallest angle is opposite the shortest side.

So, the smallest angle is opposite the shortest side.

**Let's look at another one:**

What is the relationship between side B and angle

*y*?

40 + 25 +y= 180=> 65 +y= 180=> y= 115

**The largest angle is opposite the longest side.**

**These side-angle relationships are true for all types of triangles.**