5. Indirect Proof and Inequalities in One Triangle
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Consider the Triangle Longer Side Theorem.
∠ J, ∠ K, ∠ L
To find the order of the angle measures from smallest to largest, let's first analyze the given diagram.
According to the Triangle Longer Side Theorem, angles opposite the longer sides of a triangle are larger than angles opposite the shorter sides. Conversely, angles opposite the shorter sides of a triangle are smaller than angles opposite the longer sides. We can see that KL is the shortest side, followed by JL and then JK.
13 < 25 < 28
KL