Find x,y and z in the given figure and show that AABC is isosceles.
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Answer:
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Triangle ABC has three angles, x, y and z. Is ABC isosceles? : Quant Question Archive [LOCKED]
Rayn
Oct 16, 2006
Triangle ABC has three angles, x, y and z.
Is ABC isosceles?
1) (x+y) - (x+z) = 0
2) (y+z) - (y+x) = 0
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Kudos
yezz
Oct 16, 2006
Triangle ABC has three angles, x, y and z.
Is ABC isosceles?
1) (x+y) - (x+z) = 0
2) (y+z) - (y+x) = 0
FORM ONE
Y-Z = O IE Y=Z ANGLES CAN NEVER BE ZERO ....SUFF
FROM TWO
Z =X ......SUFF
MY ANSWER IS D
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anandsebastin
Oct 16, 2006
D
Statement 1:
x(y-z) = 0
x cannot be 0. So, y=z. SUFF
Statement 2:
y(z-x) = 0
y cannot be 0. So, z=x. SUFF
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Nsentra
Oct 16, 2006
Rayn wrote:Triangle ABC has three angles, x, y and z.
Is ABC isosceles?
isosceles = two angles or two sides are equal.
1) (x+y) - (x+z) = 0
2) (y+z) - (y+x) = 0
1) x+y-x-z=0 , y = z , so angles y and z are equal. yes.
2) y+z-y-x=0, z=x, so angles z and x are euqal. yes.
D, EACH is SUFF.
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Rayn
Oct 16, 2006
Why can it not be equilateral and therefore C?
If y=z, we do not know x?
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yogeshsheth
Oct 16, 2006
Every equilateral triangle is an isoceles triangle..
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anandsebastin
Oct 16, 2006
Rayn wrote:Why can it not be equilateral and therefore C?
If y=z, we do not know x?
Since the question is "Is ABC isosceles?", we do not need to worry whether it is equilateral or not.