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If the figure OX is the radius of the circle with centre O

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If the figure OX is the radius of the circle with centre O [#permalink] New post 02 Jan 2006, 21:14
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If the figure OX is the radius of the circle with centre O which of the following traingles has the least area


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Tony Chandra

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 [#permalink] New post 02 Jan 2006, 21:19
Traingle AOX has the least area.
Area of a triangle is half the product of base and height

Radius is the same for all tirangles.
Now we got to check which triangle has the least height. AOX has the least height, so it has the least area.
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Last edited by JAI HIND on 02 Jan 2006, 22:34, edited 1 time in total.
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 [#permalink] New post 02 Jan 2006, 21:25
IMHO, the triangle OCX, should have the highest area since all the triangles have the same base as that of triangle OCX, but all of them have height (?not sure about S-V agreement) less than that of triangle OCX (which I assumed to be perpendicular to OX)
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 [#permalink] New post 02 Jan 2006, 21:30
aox has least area . You are right Jai Hind. Eventhough I knew area = 1/ base in alt, forgot that one can extend the base to drop a perpendicular as in the case of AOX. Digrammatically it has the least height.

Thx.

TC

Need to brush up on my traingles
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  [#permalink] 02 Jan 2006, 21:30
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