The Total solution for NCERT class 6-12
ABC is an isosceles triangle in which altitudes BE and CFare drawn to equal sides AC and AB respectively (see the given figure). Showthat these altitudes are equal.
In ΔAEB and ΔAFC,
∠AEB and ∠AFC (Each 90º)
∠A = ∠A (Common angle)
AB = AC (Given)
∴ ΔAEB ≅ ΔAFC (By AAS congruence rule)
⇒ BE = CF (By CPCT)