When each side of a triangle has a length which is a prime factor 2001 how many different such traingles are there
Answers
Answer:
no such triangle is possible.
Step-by-step explanation:
prime factorisation of 2001= 3x23x29
so there are 7 possible triangles.
Answer:
There is no triangle formed with a length of sides are prime factors of 2001
Step-by-step explanation:
Given,
The length of each side of a triangle is a prime factor of 2001
To find,
No. of possible triangles can be formed with the given condition
Recall the concept
The sum of any two sides of a triangle will always be greater than the third side.
Solution:
The prime factorization of 2001 = 3 ×23×29
3,23,29 form a triangle if and only if the sum of any two sides of a triangle is greater than the third side
But here, 2+23<29, hence the 3,23,29 cannot form a triangle.
Hence we can conclude that there is no triangle formed with a length of sides are the prime factors of 2001
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