# Suppose ABC is an Δ ABC is an equiangular triangle

Let AD be the perpendicular from A on BC

In Δ ABD and Δ ACD

ABD = ACD (ΔABC is equiangular)

So Δ ABD and Δ ACD are congruent to each other by A.A.S. axiom of congruency

AB = AC (Corresponding Parts of Congruent Triangles)

BD = DC(Corresponding Parts of Congruent Triangles)

Since the triangle is equiangular and AB = AC , so

AB = AC = BC

Hence the triangle is equilateral

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Let AB, CD be twoKarnataka Board - Mathematics Part II

Suppose ABC is anKarnataka Board - Mathematics Part II

Suppose ABC is anKarnataka Board - Mathematics Part II

Prove that a ΔABCKarnataka Board - Mathematics Part II

In the given figuKarnataka Board - Mathematics Part II

In the adjacent fKarnataka Board - Mathematics Part II

In the figure, APKarnataka Board - Mathematics Part II