How the two triangles become similar in the solution of my previous question

Asked by Sandeep | 10th Sep, 2015, 07:03: PM

Expert Answer:

The two triangles under consideration are CPP' and GHI.
Here, as you can see from the figure given in the textbook, begin mathsize 14px style angle straight C equals angle straight G equals increment straight theta end style
We also know that the two sides CP = CP' = radius r (Since both are radii, they will be equal)
 
So, triangle CPP' will be an isosceles triangle.
 
Now, we also know that it is an uniform circular motion. So, velocity at each point is same.
 
Hence, GH = GI = v (both same in magnitude)
 
Hence, we can conclude that triangles CPP' and GHI are both isosceles triangle with central angle Δθ.
 
So, in such a case both the triangles will be similar.

Answered by Romal Bhansali | 11th Sep, 2015, 11:32: AM

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