![]() ![]() ![]() Also, note that since triangle AOB is isosceles. or, AB, BT, and AT are chords of circle ABT. So that this angle and this angle makes 60 plus 1 20 will be equal 218. Looking at the diagram, since OA and OB are radii of the circle, then OAOB, therefore this forms an isosceles triangle inside the circle. Here we form a new triangle ABT with inner circle radius 1 cm and outer circle radius 2 cm, that is, Outer circle Radius 2 × Inner circle Radius so we can understand ABT is an equilateral triangle. So therefore half angle of 60 will be 30 each. Maybe we can see that this angle should be 30 degrees because in equilateral triangle, that angle should be 60 degrees to match 60 60 60 because the total angle is 60 times three should be equal to 1 80. Therefore it means that this is our that is our this would be these three will be X. He said the points A, B and C here and this point center point is all. Um because it's an equilateral triangle, it would then mean have redrawn this figure. So let's look at how we can prove R squared equals two X squared by three firstly. Um but before that we need to first show that r squared equals two X squared by three. In-radius of a right angle triangle (r) (P + B - H)/2. They're asking us to express the circumstances of the circle as a function of the length X. The inradius is a line drawn from the center to perpendicularly intersect a side of the triangle. In this problem, an equilateral triangle is inscribed in a circle of radius R. ![]()
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