Latest TCS Aptitude Question SOLUTION: The number of different non congruent triangles with integer side and perimeter 15 is a)9 b)7 c)10 d)6

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The number of different non congruent triangles with integer side and perimeter 15 is
a)9 b)7 c)10 d)6

Asked In TCS Rik (8 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

Arindam Pal  (8 years ago)

**Answer is-->(b) 7
x + y + z = 15

x + y > z
x + z > y
y + z > x

From
x + y + z = 15
x + y = 15 - z

since x + y > z,
15 - z > z
15 > 2z
7.5 > z

agn
x + y + z = 15
x + z = 15 - y

since x + z > y,
15 - y > y
15 > 2y
7.5 > y

agn
x + y + z = 15
y + z = 15 - x

since y + z > x,
15 - x > x
15 > 2x
7.5 > x

So all the sides are 7 or less

sure they are non-congruent,

we'll require that perimeter=15

x = 1 y = 7 z = 7
x = 2 y = 6 z = 7
x = 3 y = 5 z = 7
x = 3 y = 6 z = 6
x = 4 y = 4 z = 7
x = 4 y = 5 z = 6
x = 5 y = 5 z = 5

So there are 7

Is this solution Helpfull? Yes (15) | No (2)  

devendra kumar  (8 years ago)

B)7, Let ,1st side of triangle =a, 2nd side =b & 3rd side =c

A/C to law of triangle a+b>c so (a+b) must be 8 or 9 or 10 or 11 or 12 or 13 or 14 but not be 15,

Is this solution Helpfull? Yes (9) | No (4)  

Abhishek nkumar  (8 years ago)

B)7, Let ,1st side of triangle =a, 2nd side =b & 3rd side =c

A/C to law of triangle a+b>c so (a+b) must be 8 or 9 or 10 or 11 or 12 or 13 or 14 but not be 15.
hence answer is 7 option b

Is this solution Helpfull? Yes (4) | No (1)  

Ramlal dey  (8 years ago)

ans b)7
6+7+2
5+7+3
4+7+4
5+5+5
5+4+6
6+6+3
7+7+1

Is this solution Helpfull? Yes (1) | No (1)  

sunil amritiya  (8 years ago)

ANS b)7 is currect ans

Is this solution Helpfull? Yes (1) | No   

aditya vasudeva  (8 years ago)

Answer a)9
sides can be
9,4,2
8,5,2
7,6,2
1,6,8
1,5,9
3,4,8
3,5,7
3,4,8
4,5,6

Is this solution Helpfull? Yes | No (6)  

aditya vasudeva  (8 years ago)

sorry , the above answer the correct answer is 7

Is this solution Helpfull? Yes | No   

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