Question

5.
Prove that an equilateral triangle is equiangular.​

Answer 1

Answer:

AB=AC=>angleC=angleB.........(1)since angles opposite to equal sides are equal.

Also,AC-BC=>angleB - angleA.....(2)since angles opposite to equal sides are equal.

From(1)and (2)we have

angleA - Bangle - angleC......(3)

In ∆ABC,

AngleA+AngleB+AngleC=180degree

AngleA=180degree/3=60degree

=>angleA= AngleB= AngleC=60

Hence proved

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