Question

Abc is an isosceles triangle in which altitudes be and cf are drawn to equal sides ac and ab respectively show that these altitudes areequal

Answer 1

Answer:

BE = CF

Step by step explanation:

In triangle BCF and CBE,

BC = BC ( Given )

Angle E = Angle F ( 90 degree )

Angle B = Angle C ( Properties of isosceles triangle)

Therefore, Triangle BCF is congruent to Triangle CBE. (A.A.S.)

Therefore, BE = CF. ( C.P.C.T.C. )

Hence Proved.

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