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30 Sep 2018, 03:04
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B
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Difficulty:
45%
(medium)
Question Stats:
61% (01:18) correct
39%
(01:38)
wrong
based on 122
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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.
2) The circumference of the circle is 3π.
1) The triangle is isosceles.
2) The circumference of the circle is 3π.
30 Sep 2018, 05:27
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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
Insufficient
2) The circumference of the circle is 3π.
\(3\pi=2πr......2r=diameter=3\)..
now the largest possible side of a triangle is diameter and here the side and diameter are equal and 3
So one of the sides of the triangle is the diameter and other two sides are smaller than it.
Any triangle, which has the side as the DIAMETER , is always a right angled triangle as the angle opposite to diameter is 90°
Sufficient
B
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
Insufficient
2) The circumference of the circle is 3π.
\(3\pi=2πr......2r=diameter=3\)..
now the largest possible side of a triangle is diameter and here the side and diameter are equal and 3
So one of the sides of the triangle is the diameter and other two sides are smaller than it.
Any triangle, which has the side as the DIAMETER , is always a right angled triangle as the angle opposite to diameter is 90°
Sufficient
B
01 Oct 2018, 03:16
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chetan2u
chetan2u
If 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.
