Consider the diagram and proof by contradiction.

Mathematics

2 answers:

WARRIOR [948]2 years ago

8 0

by the converse of the triangle parts relationship theorem. ed2020

uranmaximum [27]2 years ago

5 0

The Angle-Side Relationships theorem (or triangle parts relationship theorem) states that<span> if one side of a triangle is longer than another side, then the angle opposite the longer side will have a greater degree measure than the angle opposite the shorter side.

The converse to the </span>Angle-Side Relationships theorem (or triangle parts relationship theorem) states that if one angle of a triangle has a greater degree measure than another angle, then the side opposite the greater angle will be longer than the side opposite the smaller angle.

Thus, from the proof if AB > AC, then m∠C > m∠B by the <span>converse of the triangle parts relationship theorem</span>.

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Previous concepts

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