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.
Three sides of an acute angled triangle are 10, 6 and k
[#permalink]
05 May 2023, 07:31
05 May 2023, 07:31
Expert Reply
7
Bookmarks
00:00
Question Stats:
38% (01:16) correct
61% (01:00) wrong based on 31 sessions
Hide Show timer Statistics
Three sides of an acute angled triangle are 10, 6 and k
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE GEOMETRY
Quantity A |
Quantity B |
\(k\) |
\(12\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE GEOMETRY
Re: Three sides of an acute angled triangle are 10, 6 and k
[#permalink]
05 May 2023, 08:00
05 May 2023, 08:00
1
1
Bookmarks
Acute angled triangle property A^2 < B^2 + C^2 where is A is longest side
Sides can be taking only >= 12 which satisfies triangle property
10 6 12
10 6 13
10 6 14
10 6 15
12^2 > 10^2 + 6^2
So for k >= 12 there is no value which satisfies the property so K < 12 ( 10 6 11, 10 6 10, 10 6 9 ... satisfies)
Option B
Sides can be taking only >= 12 which satisfies triangle property
10 6 12
10 6 13
10 6 14
10 6 15
12^2 > 10^2 + 6^2
So for k >= 12 there is no value which satisfies the property so K < 12 ( 10 6 11, 10 6 10, 10 6 9 ... satisfies)
Option B
Re: Three sides of an acute angled triangle are 10, 6 and k
[#permalink]
15 Jul 2024, 02:58
15 Jul 2024, 02:58
1
According to TSR(k) (Third side rule of a triangle) of a triangle we have
10-6<k<10+6 =4<k<16
K can take any value between 4 and 16 to form 3-sided closed triangle.
But the question asks acute so it must be as less as possible and can take the value 5. so yes B>A
10-6<k<10+6 =4<k<16
K can take any value between 4 and 16 to form 3-sided closed triangle.
But the question asks acute so it must be as less as possible and can take the value 5. so yes B>A
