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Three sides of an acute angled triangle are 10, 6 and k
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05 May 2023, 07:31
05 May 2023, 07:31
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Question Stats:
34% (01:18) correct
65% (00:56) wrong based on 44 sessions
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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.
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\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
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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
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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
