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A right triangle has sides of lengths a and 2b and

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A right triangle has sides of lengths a and 2b and [#permalink] New post 04 Dec 2006, 12:35
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A right triangle has sides of lengths a and 2b and hypotenuse of length a+b. whats the perimeter ?
1)a=3
2)a=3b/2

guys, take as less time as pos, while trying this..and let's see the answers!
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 [#permalink] New post 04 Dec 2006, 12:57
getting A


a^2+(2b)^2 = (a+b) ^2 from q which gives us a = 3b/2 or b = 0.

From 1 if a = 3, then b can be found

From 2: repeats what is in the question
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Re: DS: make a silly mistake here! [#permalink] New post 04 Dec 2006, 13:01
A right triangle has sides of lengths a and 2b and hypotenuse of length a+b. whats the perimeter ?
1)a=3
2)a=3b/2

we know for rt triangle side^2+side1^2=hypo^2

a^2+4b^2=(a+b)^2=a^2+b^2+2ab

4b^2=b^2+2ab
3b=2a

Peimeter = a +2b+a+b= 2a+3b=2a+2a=4a

(1) gives value of A

Suff

(2) Gives info that could be derived insuff
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Re: DS: make a silly mistake here! [#permalink] New post 04 Dec 2006, 13:05
Damager wrote:
A right triangle has sides of lengths a and 2b and hypotenuse of length a+b. whats the perimeter ?
1)a=3
2)a=3b/2

we know for rt triangle side^2+side1^2=hypo^2

a^2+4b^2=(a+b)^2=a^2+b^2+2ab

4b^2=b^2+2ab
3b=2a

Peimeter = a +2b+a+b= 2a+3b=2a+2a=4a

(1) gives value of A

Suff

(2) Gives info that could be derived insuff


Ur right, I didn't simplify the equation!

A it is
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OA [#permalink] New post 04 Dec 2006, 13:33
OA : A

great going guys!

3 out of 4 avoided the silly mistake !

I will have to give better ones next time!
:)
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 [#permalink] New post 05 Dec 2006, 18:36
Option A looks fine Sufficient to answer because we already have a relation between Rt triangle.i.e hypo^2=base^2+Altitude^2.
  [#permalink] 05 Dec 2006, 18:36
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