Question

What is the circumference of triangle in terms of sides of the triangle.

Answer 1

Let a, b, c the lengths of triangles then,

Circumference of triangle [Scalene triangle; a ≠ b ≠ c ] = a + b + c

Circumference of triangle [ Isosceles a=b≠c ] = 2a+c = 2b+ c

Circumferencr of triangle [ Equilateral triangle a = b = c ] = 3a = 3b = 3c .

Circumference of right angled triangle [ a, b, √a²+b² are sides ] = a + b + √ a²+b2

Circumference of a triangle [ right angled isosceles triangle; a, a, √2 a are sides ] = a [ 2 + √ 2 ]

Circumference of a triangle with angles ( 90 , 45 ,45 and the sides opposite of 45 is x ) = x ( 2 + √2 )

Circumference of a triangle with angles (30, 60 ,90 and side opposite to 30 is a) = a ( 3 + √3 )

Hope helped!

Answer 2

Answer:

The circumcircle always passes through all three vertices of a triangle. Its center is at the point where all the perpendicular bisectors of the triangle's sides meet. This center is called the circumcenter. See circumcenter of a triangle for more about this.

Note that the center of the circle can be inside or outside of the triangle. Adjust the triangle above and try to obtain these cases.

The radius of the circumcircle is also called the triangle's circumradius.

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