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# DS: Geometry

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Director
Joined: 07 Nov 2004
Posts: 683

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14 Dec 2004, 08:12
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Director
Joined: 21 Sep 2004
Posts: 607

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14 Dec 2004, 08:22
i think one of the properties states that if it makes a right angled triangle then it woul dbe semi circle ..(that half of it ) which would make AC is the diameter..

answer A? not too sure though..
CIO
Joined: 09 Mar 2003
Posts: 463

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14 Dec 2004, 10:21
agree with A. when a right triangle is inscribed in a circle, the hypotenuse is the diameter.
Director
Joined: 19 Nov 2004
Posts: 556
Location: SF Bay Area, USA

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14 Dec 2004, 11:30
1) Angle of a triangle inscribed in a semicircle is 90. Here, the angle is 90, so it is a semi circle (corollary) => AC is a diameter

Ok

2) AB/BC = 3/4. Perhaps they are baiting that we might assume AB:BC:AC = 3:4:5 and therefore conclude angle ABC is 90*. But that is not the case. It does not say BC:AC is 4:5.

A it is
Director
Joined: 07 Nov 2004
Posts: 683

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14 Dec 2004, 16:01
OA is A.

Good explanation nocilis.
14 Dec 2004, 16:01
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