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In the figure above, line AC represents a seesaw that is

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Director
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In the figure above, line AC represents a seesaw that is [#permalink] New post 07 Jun 2007, 19:48
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20. In the figure above, line AC represents a seesaw that is touching level ground at point A. If B is the midpoint of AC, how far above the ground is point C?

(1) x = 30
(2) Point B is 5 feet above the ground.
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VP
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 [#permalink] New post 07 Jun 2007, 22:32
The answer is (B)

two triangles are similar if:

a) 3 angles of 1 triangle are the same as 3 angles of the other.

or b) 3 pairs of corresponding sides are in the same ratio

or c) An angle of 1 triangle is the same as the angle of the other triangle and the sides containing these angles are in the same ratio.

since we can know that we are dealing with similar triangles based on a).

we can tell the height of C, from statement 2 alone.

:-D
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 [#permalink] New post 07 Jun 2007, 22:36
(B) too :)

Theorem of Thales ;)

Let B' and C' be the perpendicular projections of B and C.

We have so:
AB/AC = BB'/CC'
<=> 1/2 = 5/CC' as AC=2*AB
<=> CC' = 10
  [#permalink] 07 Jun 2007, 22:36
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In the figure above, line AC represents a seesaw that is

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