If A Circle Is Inscribed In An Equilateral Triangle Of Side 2√3 Units, Then Radius Of The Circle Is?

2 Answers

Jeff W Profile
Jeff W answered
As you know an equilateral triangle have three sides of all equal lengths, that being

2√3. The radius of your circle will then touch each side of your triangle exactly in the middle of each side so you have one side of a triangle being √3, one side being the unknown radius, and the last side being the center of the circle and center of the equilateral triangle to each of the vertices. (It helps to draw this on paper.) So now you want to apply the formula of an equilateral h(height) = √3 ÷ 2 × s(sides) where s is equal to each side of your equilateral triangle. Your answer should equal one.

Anonymous Profile
Anonymous answered
2√3. The radius of your circle will then touch each side of your triangle exactly in the middle of each side so you have one side of a triangle being √3, one side being the unknown radius, and the last side being the center of the circle and center of the equilateral triangle to each of the vertices. (It helps to draw this on paper.) So now you want to apply the formula of an equilateral h(height) = √3 ÷ 2 × s(sides) where s is equal to each side of your equilateral triangle. Your answer should equal one.

Answer Question

Anonymous