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 the figure above, CBD = BCD . What is the area of triangle A BC?
[#permalink]
04 Jan 2023, 09:23
04 Jan 2023, 09:23
Expert Reply
00:00
Question Stats:
100% (01:32) correct
0% (00:00) wrong based on 3 sessions
Hide Show timer Statistics
Attachment:
GRE What is the area of triangle ABC.jpg [ 24.85 KiB | Viewed 1257 times ]
In the figure above, \(\angle CBD = \angle BCD\) . What is the area of triangle ABC?
Show: ::
102
Re: In the figure above, CBD = BCD . What is the area of triangle A BC?
[#permalink]
30 Jan 2023, 16:30
30 Jan 2023, 16:30
Expert Reply
OE
The right triangle on the left (triangle ABD) is a 5-12-13 triangle, which is one of the common right triangles with integer side lengths. (Note that you could also use the Pythagorean theorem to determine that the length of BD equals 12: 5^2 + 12^2 = 13^2.) BD is the height of triangle ABC.
Because C B D = B C D , triangle BCD is isosceles, and the length of CD must also equal 12. Thus, the base of triangle A BC has length 5 + 12 = 17, and its area is given by 1/2 bh=1/2 17*12=102
The right triangle on the left (triangle ABD) is a 5-12-13 triangle, which is one of the common right triangles with integer side lengths. (Note that you could also use the Pythagorean theorem to determine that the length of BD equals 12: 5^2 + 12^2 = 13^2.) BD is the height of triangle ABC.
Because C B D = B C D , triangle BCD is isosceles, and the length of CD must also equal 12. Thus, the base of triangle A BC has length 5 + 12 = 17, and its area is given by 1/2 bh=1/2 17*12=102
gmatclubot
Re: In the figure above, CBD = BCD . What is the area of triangle A BC? [#permalink]
30 Jan 2023, 16:30
Moderators:
