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kevincan
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In triangle ABC, AB has a length of 10 and D is the midpoint Updated on: 01 Mar 2007, 09:52
Originally posted by kevincan on 01 Mar 2007, 08:40.
Last edited by kevincan on 01 Mar 2007, 09:52, edited 2 times in total.
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In triangle ABC, AB has a length of 10 and D is the midpoint of AB. What is the length of line segment DC?

(1) Angle C= 90º
(2) Angle B= 45º

Corrected!



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CookieMonster
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In triangle ABC, AB has a length of 10 and D is the midpoint 01 Mar 2007, 08:45
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do you mean "what is the length of segment AC?"

if not we know that AD = 5 from the question
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burningskulls
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In triangle ABC, AB has a length of 10 and D is the midpoint 01 Mar 2007, 09:06
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D

Both are sufficient since the answer is 5.

:)
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rdg
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In triangle ABC, AB has a length of 10 and D is the midpoint 03 Mar 2007, 20:27
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Angle 90 degree can not help alone but if other angles are 45 degree then AD=DC=5 (45 degree rules of right angled triangle).

Answer is (C)
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trivikram
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In triangle ABC, AB has a length of 10 and D is the midpoint 04 Mar 2007, 13:08
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Answer is A 'cos median to the hypotenuse in a right trianle is 1/2 the hypotenuse
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CookieMonster
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In triangle ABC, AB has a length of 10 and D is the midpoint 04 Mar 2007, 14:54
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trivikram
Answer is A 'cos median to the hypotenuse in a right trianle is 1/2 the hypotenuse
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hmmm..i think you might be right..
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In triangle ABC, AB has a length of 10 and D is the midpoint 06 Mar 2007, 18:48
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Will the midpoint of the hypotenuse bisect the hypotenuse's angle? (ie, split a 90 degree angle, opposite the hypotenuse, in two. If so, I'm with A.
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querio
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In triangle ABC, AB has a length of 10 and D is the midpoint 29 Apr 2007, 09:18
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C for me

Stmt 1) insuff
Stmt 2) insuff

Stmt 1&2)
right triangle 45:45:90
we can calculate the length of the equal sides and then calculate the length of DC
--> suff


What's the OA?
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In triangle ABC, AB has a length of 10 and D is the midpoint 29 Apr 2007, 16:15
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(1) Knowing that C = sqr angle is enough to know that, if D is in the middle of A and B, DC = DA = DB = 5. Suff, then A or D.

(2) Wo/ at least one more angle (or length of a side) we don´t know how long DC can be. Insuff, then the answer is A.



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