Question

If one angle of a triangle is 60 degrees, then ithe triangle must be an equilateral triangle.

• A. True
• B. False

Answer 1

The correct option is B

False

If one angle of a triangle is 60 degrees, it is equilateral if the other two angles are also 60 degrees each.

By constructions we can say that,

If one angle of a triangle is 60 degrees, and the other two are 50 degrees and 70 degrees, then it will be a scalene acute triangle.

If one angle of a triangle is 60 degrees, and the other two are 30 degrees and 90 degrees, then it will be a right angled triangle.

If one angle of a triangle is 60 degrees, and the other two are 100 degrees and 20 degrees, then it will be a scalene obtuse triangle.

So, it is not necessary that if one angle of a triangle is 60 degrees, it is an equilateral triangle.