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Triangle ABC has angle B = angle C. BE is perpendicular to AC and CF is perpendicular to AB.
Triangles BFC and CEB are congruent by AAS (right angles at F and E, BC common, angle B = angle C), so CF = BE. What are CF and BE?

Class 9Criteria for CongruenceGeometry — Triangles
  • Aaltitudes from C and B
  • Bmedians
  • Cangle bisectors
  • Dperpendicular bisectors of BC

Step-by-Step Solution

CF and BE are drawn perpendicular to the opposite sides, so they are altitudes; the AAS congruence gives CF = BE — the altitudes from the two equal-angle vertices are equal.
Answer: A) altitudes from C and B

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