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If h and b represent the height and base, respectively, of the triangl

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If h and b represent the height and base, respectively, of the triangl  [#permalink]

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New post 07 Sep 2018, 00:55
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A
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C
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Question Stats:

58% (01:21) correct 42% (00:56) wrong based on 19 sessions

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If h and b represent the height and base, respectively, of the triangle above, what is the perimeter of the triangle?

(A) Three times the base is 3 more than the height.
(B) The average of the base and height is 8.5.


Attachment:
image001.jpg
image001.jpg [ 2.11 KiB | Viewed 187 times ]

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Re: If h and b represent the height and base, respectively, of the triangl  [#permalink]

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New post 07 Sep 2018, 02:15
Bunuel wrote:
Image
If h and b represent the height and base, respectively, of the triangle above, what is the perimeter of the triangle?

(A) Three times the base is 3 more than the height.
(B) The average of the base and height is 8.5.


Attachment:
image001.jpg


Question : what is the perimeter of the triangle?

Statement 1: Three times the base is 3 more than the height.

3b = 3+h
but we need one more equation to calculate the values of base and heights along with the third side of this right triangle

P.S. The given triangle is a right triangle because base and height of a triangle are always perpendicular to each other

Not sufficient

Statement 2: The average of the base and height is 8.5.

i.e. b+h = 8.5*2 = 17

but we need one more equation to calculate the values of base and heights along with the third side of this right triangle

NOT SUFFICIENT

Combining the two statetements

we have two equations and two variables so base and height can be calculated and afterwards teh hypotenuse as well hence

SUFFICIENT

Answer: option C
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Re: If h and b represent the height and base, respectively, of the triangl  [#permalink]

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New post 19 Sep 2018, 01:12
Right trianlge? Its nowhere mentioned in the question that the triangle is a right angled triangle :(
Re: If h and b represent the height and base, respectively, of the triangl &nbs [#permalink] 19 Sep 2018, 01:12
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