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In a triangle ABC and R is the radius of the circle into which the triangle is inscribed(in other words it is the circum radius of the triangle) then prove it is an equilateral triangle

In a triangle ABC and R is the radius of the circle into which the triangle is inscribed(in other words it is the circum radius of the triangle)



then prove it is an equilateral triangle

Grade:12

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
12 years ago

Dear ankit,

we know that . Multiply out the left side to get . Thus the equation becomes , which you can write as . That obviously only holds if .

 

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