Question

ABC is a triangle congurent in which altitudesBE and CF to sides of AC and AB are equal show that 1. show that triangleABE congurent to triangle ACF 2.AB=AC​

Answer 1

Step-by-step explanation:

In ΔABE and ΔACF, 

∠BAE=∠CAF  (Common angle) 

∠AEB=∠AFC ....(∵BE⊥AC and CF⊥AB) 

BE=CF (Given that altitudes are equal)

By AAS criterion of congruence, 

ΔABE≅ΔACF

Hence, 

AB=AC (by CPCT)