ICSE Class 7 Answered
In ΔABC, BE and CF are altitudes on the sides AC and AB respectively such that BE = CF. Using RHS congruency rule, prove that AB = AC.
Asked by Topperlearning User | 06 Dec, 2013, 01:40: AM
Expert Answer
In Right Triangles BEC and CFB
BEC = CFB (90o each)
BE = CF ( given)
BC = BC (Common)
BCE = CBF (CPCT)
BCA = CBA (same angle)
In 
ABC, we have:
BCA = CBA (Proved above)
AB = AC [sides opposite equal angles are equal]
Answered by | 06 Dec, 2013, 03:40: AM
