Triangle Side and Angle Inequalities - Problem 1


In this problem we’re being asked to list the angles of this triangle in order from smallest to largest. The only thing we need to look at here is how long are the sides? Let’s start by finding the small side. Well it’s pretty clear that 1.3 is the small side in this triangle and that is opposite angle S. So if I’m starting with my smallest angle I’m going to say measure of angle S is my smallest.

The next small side is 2.6. 2.6 is opposite angle R so we have measure of angle S the next largest is measure of angle R and by process of elimination we see that 2.7, our longest side is opposite of angle Q. So the key to these problems is you’re saying which side is the shortest, which side is the longest and listing them in order.

angles smallest to largest sides smallest to largest