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Right triangle ABC has a height BD, What is the value of AB

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CEO
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Right triangle ABC has a height BD, What is the value of AB [#permalink]

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13 Nov 2007, 09:20
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Right triangle ABC has a height BD, What is the value of AB times BC?

1. AB is equal to 6
2. The product of the non hypotenuse sides is equal to 24
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13 Nov 2007, 09:31

Statement I alone is not sufficient as it tells us nothing about BC.

If BD is the height of a right angled triangle ABC, the right angle has to be at vertex B. If the right angle is at vertex B, sides AB & BC will be the non-hypotenuse sides.

Statement II gives us the product of the non-hypotenuse sides i.e. AB and BC.
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13 Nov 2007, 09:33
bmwhype2 wrote:
Right triangle ABC has a height BD, What is the value of AB times BC?

1. AB is equal to 6
2. The product of the non hypotenuse sides is equal to 24

what if BD coincides with BA?
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13 Nov 2007, 09:42
Ravshonbek wrote:
bmwhype2 wrote:
Right triangle ABC has a height BD, What is the value of AB times BC?

1. AB is equal to 6
2. The product of the non hypotenuse sides is equal to 24

what if BD coincides with BA?

Hmm..you are suggesting that D and A are the same points...I concede it is a very valid point that I totally missed but wonder if I would have let that possibility alter my solution in the actual GMAT. I guess i might have still put my money on B and got it wrong.

Whats the OA, bmwhype2?
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13 Nov 2007, 10:47
"If BD is the height of a right angled triangle ABC, the right angle has to be at vertex B."

just wondering how come this is so. why couldnt B be at the top of the triangle instead of at the right angle.
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13 Nov 2007, 19:48
jimjohn wrote:
"If BD is the height of a right angled triangle ABC, the right angle has to be at vertex B."

just wondering how come this is so. why couldnt B be at the top of the triangle instead of at the right angle.

An assumption that i did not know i had made till ravshonbek pointed it out was that A & D are distinct points. If A & D are distinct points, you will find that if BD is the height of a right angled triangle, the right angle will always be at point B. If it were at any other point ( say A or C ), then BA or BC would be the height and BD would have to coincide with one of them.
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22 Nov 2007, 02:11
jbs wrote:
Ravshonbek wrote:
bmwhype2 wrote:
Right triangle ABC has a height BD, What is the value of AB times BC?

1. AB is equal to 6
2. The product of the non hypotenuse sides is equal to 24

what if BD coincides with BA?

Hmm..you are suggesting that D and A are the same points...I concede it is a very valid point that I totally missed but wonder if I would have let that possibility alter my solution in the actual GMAT. I guess i might have still put my money on B and got it wrong.

Whats the OA, bmwhype2?

yes, i was wondering the same thing. how we would know which is the right angle?

OA is B.
CEO
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22 Nov 2007, 02:23
22 Nov 2007, 02:23
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