GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In triangle ABC, if AB = 4, then
[#permalink]
01 Feb 2022, 06:15
01 Feb 2022, 06:15
Expert Reply
00:00
Question Stats:
97% (01:11) correct
2% (01:37) wrong based on 34 sessions
Hide Show timer Statistics
Attachment:
GRE In triangle ABC, if AB = 4, then AC =.jpg [ 12.03 KiB | Viewed 2084 times ]
In triangle ABC, if AB = 4, then AC =
A 6
B 7
C 8
D 9
E 10
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
In triangle ABC, if AB = 4, then
[#permalink]
03 Feb 2022, 11:35
03 Feb 2022, 11:35
Carcass wrote:
Attachment:
GRE In triangle ABC, if AB = 4, then AC =.jpg
In triangle ABC, if AB = 4, then AC =
A 6
B 7
C 8
D 9
E 10
Since angles on a line must add to 180°, we can conclude that angle BCA = 30°, which means angle ABC = 90° (since all three angles in a triangle must add to 180°)
Notice that we have a special 30-60-90 right triangle.
Now let's add the information that tells us AB = 4
Notice that side AC is the hypotenuse, and side AB is the side opposite the 30° angle.
Let's add the base 30-60-90 special right triangle for reference.
Since the hypotenuse is always TWICE the length of the side opposite the 30° angle, we can conclude that AC = 2(4) = 8
Answer: C
gmatclubot
In triangle ABC, if AB = 4, then [#permalink]
03 Feb 2022, 11:35
Moderators:
