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the length of a triangle height

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Senior Manager
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Joined: 30 May 2005
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the length of a triangle height [#permalink] New post 31 May 2005, 13:44
Hello
does anyone has a clue on how to approach the following exercises
Right answer b plz the triangle is in the attachment
ty

20. In the right triangle PQS above, if PQ =3 and PS = 4, then
(A) 9/4
(B) 12/5
(C) 16/5

(D) 15/4
(E) 3/20
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Senior Manager
Senior Manager
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Joined: 21 Mar 2004
Posts: 444
Location: Cary,NC
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Re: the length of a triangle height [#permalink] New post 31 May 2005, 13:52
mandy wrote:
Hello
does anyone has a clue on how to approach the following exercises
Right answer b plz the triangle is in the attachment
ty

20. In the right triangle PQS above, if PQ =3 and PS = 4, then
(A) 9/4
(B) 12/5
(C) 16/5

(D) 15/4
(E) 3/20


You can either work it out by algebraic equations or use the formula.

Height = side1*side2/hypotenuse = 3*4/5 = 12/5


If you work algebraically in gmat exam, you're doomed because solving the equations is gonna take you a lot of time.

suppose h=height , it falls on side=5, and divides it into x, 5-x

so h^2 = 3^2 -x^2
& h^2 = 4^2- (5-x)^2

Eliminate x and Solve for h, and you will get it = 12/5
IN EXAM Please DONT DO this way. Use the formula.

Also see this post.
http://www.gmatclub.com/phpbb/viewtopic.php?t=16791
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ash
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I'm crossing the bridge.........

Senior Manager
Senior Manager
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Joined: 21 Mar 2004
Posts: 444
Location: Cary,NC
Followers: 2

Kudos [?]: 20 [0], given: 0

 [#permalink] New post 31 May 2005, 14:07
Putting a diagram for everyone to use the formulae. I spent quite some time deriving it today.
Attachments

right angle triangle.jpg
right angle triangle.jpg [ 15.12 KiB | Viewed 442 times ]


_________________

ash
________________________
I'm crossing the bridge.........

Senior Manager
Senior Manager
avatar
Joined: 30 May 2005
Posts: 277
Followers: 1

Kudos [?]: 11 [0], given: 0

thanks [#permalink] New post 31 May 2005, 14:12
thanks I will leran the formula
thanks   [#permalink] 31 May 2005, 14:12
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