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Point D lies on side BC of triangle ABC, and it is known that AB > AC.
Using the angle-side relationship, which of the following is necessarily true?

Class 9Inequalities in a TriangleGeometry — Triangles
  • Aangle ACB > angle ABC
  • Bangle ABC > angle ACB
  • Cangle ACB = angle ABC
  • Dangle BAC > angle ACB

Step-by-Step Solution

The angle opposite the longer side is greater. AB is opposite angle ACB and AC is opposite angle ABC. Since AB > AC, angle ACB > angle ABC.
Answer: A) angle ACB > angle ABC

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