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Triangle ABC is isosceles with AB = AC. The medians BE and CF (to the equal sides) are drawn.
Which relation holds between BE and CF?

Class 9Properties of Isosceles TrianglesGeometry — Triangles
  • ABE = CF
  • BBE = 2 CF
  • CBE is perpendicular to CF
  • DBE + CF = BC

Step-by-Step Solution

By symmetry of the isosceles triangle (or by congruent triangles BEC and CFB), the medians to the two equal sides are equal in length.
Answer: A) BE = CF

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