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01 Aug 2014, 07:34
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Is a triangle with angles x, y and z isosceles?
1) Angles x and y are not equal to each other.
2) The lengths of the sides of the triangle opposite angles x and z are equal to each other.
1) Angles x and y are not equal to each other.
2) The lengths of the sides of the triangle opposite angles x and z are equal to each other.
01 Aug 2014, 07:44
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pratikshr
Is a triangle with angles x, y and z isosceles?
1) Angles x and y are not equal to each other.
2) The lengths of the sides of the triangle opposite angles x and z are equal to each other.
I think Statement 2 is not sufficient:
Knowing that two sides are equal, the triangle can be isosceles or equilateral. We need statement 1 to give data that the third side is not equal.
Awaiting expert opinion on this.
Thanks,
1) Angles x and y are not equal to each other.
2) The lengths of the sides of the triangle opposite angles x and z are equal to each other.
I think Statement 2 is not sufficient:
Knowing that two sides are equal, the triangle can be isosceles or equilateral. We need statement 1 to give data that the third side is not equal.
Awaiting expert opinion on this.
Thanks,
According to the Official Guide an isosceles triangle has at least two sides of the same length, which means that if a triangle is equilateral it could still be considered as isosceles.
General Discussion
01 Aug 2014, 07:35
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SOLUTION:
Correct Answer: B
Explanation: In order for a triangle to be isosceles, it must have at least 2 sides of equal length; alternatively, we know a triangle is isosceles when it has at least 2 angles of equal length.
In evaluating statement 1 alone, we know two of the angles are not equal to one another, but we do not know anything about the third angle, which may or may not be equal to one of the other two angles; as such, statement 1 alone is not sufficient.
In evaluating statement 2 alone, we know the lengths of two of the sides of the triangle are equal; as such, statement 2 alone is sufficient. Accordingly, the correct answer is B.
Correct Answer: B
Explanation: In order for a triangle to be isosceles, it must have at least 2 sides of equal length; alternatively, we know a triangle is isosceles when it has at least 2 angles of equal length.
In evaluating statement 1 alone, we know two of the angles are not equal to one another, but we do not know anything about the third angle, which may or may not be equal to one of the other two angles; as such, statement 1 alone is not sufficient.
In evaluating statement 2 alone, we know the lengths of two of the sides of the triangle are equal; as such, statement 2 alone is sufficient. Accordingly, the correct answer is B.
