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Difficulty:
45%
(medium)
Question Stats:
65% (01:58) correct
35%
(01:28)
wrong
based on 82
sessions
History
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Not Attempted Yet
ABC is a triangle with BC = AC = 6. D is a point on AB. What is the length of CD?
(1) ∠ACB = 120◦.
(2) CD is the bisector of ∠ACB.
(1) ∠ACB = 120◦.
(2) CD is the bisector of ∠ACB.
Bunuel
ABC is a triangle with BC = AC = 6. D is a point on AB. What is the length of CD?
(1) ∠ACB = 120◦.
(2) CD is the bisector of ∠ACB.
(1) ∠ACB = 120◦.
(2) CD is the bisector of ∠ACB.
It should be C.
Statement 1: This provides us no information about D.
Statement 2: We need at least 3 parameters to accurately measure a triangle and with length of two arms, we have no way of measuring the original triangle ABC.
Combined, we should be able to measure the original triangle and its equal split at D.
Edit: Attaching diagram.
Attachments
diagram3.jpg [ 17 KiB | Viewed 1957 times ]
Bunuel
ABC is a triangle with BC = AC = 6. D is a point on AB. What is the length of CD?
(1) ∠ACB = 120◦.
(2) CD is the bisector of ∠ACB.
(1) ∠ACB = 120◦.
(2) CD is the bisector of ∠ACB.
the given triangle is isoscles traingle...
stat1 : no info on location of D
stat2: not suff to calculte the length of CD..
both combines,,, triangle BCD is 30-60-90 and hence CD= 3..
ans C
hope tat helps
