# In an isosceles triangle ABC with base AC, bisectors AD and CF of equal angles CAB

September 15, 2021 | education

| **In an isosceles triangle ABC with base AC, bisectors AD and CF of equal angles CAB and ACB are drawn, respectively. prove that triangles ADB and CFB are equal.**

Since the triangle is isosceles, then in triangles ADB and CFB, AB = CB.

CF and AD are the bisectors of the angles ACB and CAB, then the angle BAD = BCF. In triangles ADB and CFB, angle ABC is common.

Then the triangles ADB and CFB are equal in the side and the angles adjacent to it – according to the second sign of equality of triangles. Q.E.D.

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