Question

The altitude AD,BE and CF of triangle ABC are equal. Prov e that triangle ABC is an equilateral triangle.

Answer 1

Step-by-step explanation:

In triangle ABC and triangle ACF

BE =CF

angle =A common

angle AEB =AFC

=90°

By AAS (angle ,angle ,side ) congruent rule ABE ≈ ACF

AB = AC (cpct )

Similarly ,

BCF ≈ABD

AB = BD

AC = BC

AB = AC

Hence proved .