In session 5, there is this question of triangle RST, where angle RST>90, and area=25pi (diameter=10). We have to compare between RT and 10/Diameter.

Now, of course, Diameter is the longest chord, so RT could be shorter than 10.

However, larger sides correspond to larger angles? So if angle RST is more than 90, the opposite side i.e. RT should be more than 10?

Have my GRE exam coming up, so would really like if y’all can help me out. I suppose this is a conceptual question so would love to know where I am going wrong!

hello @ashruti.596 good question, so basically you are conceptually correct no doubt in that. But there’s a slight issue with the understanding, i.e in circle none of the chord can be greater than diameter so that’s the reason it is smaller. Also to think logically, rather than a stated concept, it will make more sense.

True, but only in the context of the particular triangle.

False, because the diameter is not a part of the triangle RST.

It is true that RT > RS and RT > ST, but notice that there is no mention of diameter anywhere.

Also, any chord has to be smaller than the diameter hence RT < 10

That’s helpful. I mean the idea was if RT coincided with the diameter, then angle RST is 90, so conversely, if RST is more than 90, then chord would be the bigger than 10. However, yh logically, the end points of RT will not remain inscribed within the circle, so makes sense. Thanks!

yes correct!!! Good luck for the GRE