Prove that the sides opposite to equal angles of a triangle are equal.


Answer:


Step by Step Explanation:
  1. Let ABC be an isosceles triangle with B=C.
      A B C
  2. We need to prove that AB=AC
  3. Let us construct an angle bisector AD of angle A.
      A B CD
    In ABD and ACD, we have B=C[Given]BAD=CAD[By construction] AD=AD[Common] ABDACD[By AAS citerion]
  4. As the corresponding parts of congruent triangles are equal, we have AB=AC.
  5. Thus, the sides opposite to equal angles of a triangle are equal.

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