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Question
examining the relationship between angle measures and side lengths
drag vertices b and c of the triangle. then, conjecture about the relationship between angle measures and side lengths in a triangle
if the angle measure is the largest of the triangle, what do you know about the side opposite?
it is the length
if a side is the shortest of the triangle, what do you know about the angle opposite that side?
it is the degree measure
In a triangle, there is a direct relationship between angle measures and side lengths. The larger the angle, the longer the side opposite it. Conversely, the smaller the angle, the shorter the side opposite it. This is a fundamental property of triangles.
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- If the angle measure is the largest of the triangle, the side opposite is the longest length.
- If a side is the shortest of the triangle, the angle opposite that side is the smallest degree measure.