chetan2u wrote:
A triangle is inscribed in a circle. The length of one of its sides is 3. Is the triangle a right triangle?
1) The triangle is isosceles.
Nothing about the other two sides or the radius of circle..
It is possible that other sides are 6 and 7...NO
Possible that aides are 4 and 5...yes
chetan2uIf the triangle is isosceles, then can't have sides of 6 and 7, 4 and 5 if one side is 3? Please clarify.
I agree with your explanation for Statement 2.
If one side is 3 then other sides may be 3 and 4 i.e. Triangle is an isosceles triangle but it's NOT a right triangle.
If one side is \(3\) then other sides may be \(3\) and \(3√2\) with \(3√2\) being hypotenuse and diameter of triangle i.e. Triangle is an isosceles triangle and also a right triangle.
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