Events & Promotions
|
|
GMAT 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.
Jun 0210:00 AM PDT
-11:00 AM PDT
Probability is one of the most important GMAT Quant topics because it often combines logic, counting, set theory, and permutations & combinations. Many students try to solve probability questions by listing every possible case, but GMAT probability...- Jun 03
08:30 AM PDT
-09:30 AM PDT
In Episode 7 of our GMAT Ninja CR series, we are rounding up the oddballs, the misfits, and the format-benders: EXCEPT, Fill-In-The-Blanks, and other unusual Critical Reasoning question types. When you see a question that ends with a literal blank line 
May 2910:00 AM IST
-11:00 PM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.- Jun 04
08:30 AM PDT
-09:30 AM PDT
For most test takers, Data Insights is the most challenging section on the GMAT, with test takers scoring several points lower on average on DI than on Quant or Verbal and completing the section with less time to spare. - Jun 10
06:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
Any triangle in which the lengths of the sides are in the ratio 3:4:5 is a right triangle.
In general, if a, b, and c are the lengths of the sides of a triangle and a^2 + b^2 = c^2, then the triangle is a right triangle.
In 30°− 60°− 90° triangles, the lengths of the sides are in the ratio 1:sqrt(3):2. For example, in ΔXYZ, if XZ = 3, then XY = 3*sqrt (3) and YZ = 6.
Can anyone explain how in 30-60-90, XY is coming as 3*sqrt(3) ?
In general, if a, b, and c are the lengths of the sides of a triangle and a^2 + b^2 = c^2, then the triangle is a right triangle.
In 30°− 60°− 90° triangles, the lengths of the sides are in the ratio 1:sqrt(3):2. For example, in ΔXYZ, if XZ = 3, then XY = 3*sqrt (3) and YZ = 6.
Can anyone explain how in 30-60-90, XY is coming as 3*sqrt(3) ?
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
14 May 2020, 10:54
Kudos
Bookmarks
Hi ,
This is a general statement : In 30°− 60°− 90° triangles, the lengths of the sides are in the ratio 1:sqrt(3):2.
The values which you have posted for the given XYZ triangle is incorrect. The correct values should be:
XZ=3, XY=3*sqrt(3) , YZ = 6 which conform with the above statement that sides are in ratio 1:sqrt(3):2 .
Please award kudos if you like the solution.
This is a general statement : In 30°− 60°− 90° triangles, the lengths of the sides are in the ratio 1:sqrt(3):2.
The values which you have posted for the given XYZ triangle is incorrect. The correct values should be:
XZ=3, XY=3*sqrt(3) , YZ = 6 which conform with the above statement that sides are in ratio 1:sqrt(3):2 .
Please award kudos if you like the solution.
15 May 2020, 08:50
Kudos
Bookmarks
skharkia
30:60:90 -> 1:root 3: 2 -> a:a root3:2a,
in ΔXYZ, if XZ = 3, then XY = 3*sqrt (3) and YZ = 6
Now as per above example, xz (30°)= 3 = a, XY (60°)= 3 root 3 =a root 3 and YZ (90°)= 6 = 2a.
so, here a =3.
Similarly, 45° - 45° - 90° triangle have side ratio as a:a:a root 2.
