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The shortest side is opposite the smallest angle. The longest side is opposite the biggest angle. The middle length side is opposite the middle sized angle.

For a triangle with sides of length a, b, and c, with c being the hypotenuse (the longest side), a2 + b2 = c2.

The angles within a triangle must all add to 180o.

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Q: How do the sides and angles of a triangle relate to each other?
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A triangle with no equal sides or angles will always be classified as 'scalene'.


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For segments or angles, "congruent" means that they have the same measure.For more complicated figures, such as triangles, "congruent" means that all corresponding sides and angles are congruent. "Corresponding" means that you make an assignment, from angles and sides of one triangle, to angles and sides of the other triangle. For example, you might label the sides of one triangle a1, b1, c1, and the sides of other triangle a2, b2, c2 - and you consider the "a" sides to be "corresponding".


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