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If distinct points A, B, C, and D form a right triangle ABC [#permalink]
10 Aug 2011, 07:44

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

65% (01:29) correct
35% (01:01) wrong based on 17 sessions

If distinct points A, B, C, and D form a right triangle ABC with a height BD, what is the value of AB times BC?

1) AB = 6 2) The product of the non-hypotenuse sides is equal to 24.

So this question hinges on figuring out which angle is the right angle. According to the OA, ABC must be the right angle, but why? If all points are distinct, drawing a line from point B to point D should be impossible without making D = A or C... right? Unless I'm visualizing this wrong.

The height of the right triangle angle is (always) length of line which is drawn from vertex(point of 90degree) to hypotenuse and which is perpendicular to hypotenuse.