Question

an isosceles triangle the ratio ri/rc of the inscribed and circumscribed circumference is 1/2. determine the angles of the triangle.​

Answer 1

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Answer:

  equilateral triangle: all angles 60°

Step-by-step explanation:

It can be shown easily that an equilateral triangle meets the requirement. It is a little more difficult to show that the requirement forces an equilateral triangle.

In an equilateral triangle, the incenter and the circumcenter are the same point: the centroid. The centroid is half as far from the side as it is from the vertex, so the requirement ri/rc = 1/2 is demonstrated by that property.

Answer 2

Answer:

the answer is all angles 60°