Thursday, June 21, 2007

GRE GEOMETRY QUESTION OF THE DAY

In △ABC, AB =6, BC = 8, and CA =10.5

COLUMN A--The measure of angle ABC

COLUMN B--90º

19 comments:

  1. angle is not 90...6*6 + 8*8 not eq 10.5 * 10.5 ....and how ever u add u cant get rt angled triplet coz 6 and 8 are integers but 10.5 is not...

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  2. ya angle is not 90...so..column A is greater...cos if it were 6.4 the 3rd side shud ve been 10...so it has to be greater than 90...cos sides opposite to greater angles are gr8er...guess am rite??

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  3. i mean if the sides are 6 and 8...the third side wil be 10 for a rite angled triangle...since its 10.5 the angle is gr8er than 90 which implies column A is gr8er...

    *sorry my prev comment was a bit obscure...*

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  4. since 9.somethin is the hypotenuse of a right angled traingle with sides 6 and 8...we see that 10 is something which is more than that hence the angle needs to be more than 90 degress in order to accomodate the third side..so coloumn A is larger

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  5. a

    since 6^2 + 8^2 < 10.5^2

    column a is greater

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  6. >90 deg,if right triangle hypotenuse would be 10,side as 10.5 = >90

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  7. ANS is A..........

    let angle of b be 90 then sum of squares of sides must be equal to hyop 6^2+8^2=100 then hypo is 10....... so my point is the given length is greater than 10 so angle will be greater than 90

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  8. This comment has been removed by the author.

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  9. A
    .
    . .
    . .
    . .
    . .
    B .......... C
    For a righta anfled TRIANGLE
    AB=6;BC=8;AC=10...

    IF AC increases the angle ABC increases and the Triangle Becomes obtuse.

    The general condition for this Question can be stated as
    Obtuse... AC^2 > AB^2+BC^2
    Right...AC^2 = AB^2+BC^2
    Acute....AC^2 < AB^2+BC^2

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  10. column A is greater then B

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