Maths-
General
Easy
Question
Statement 1: The number of triangles that can be formed with sides of length a,b,c where a,b,c are integers such that 
is 64 and
Statement 2: In a triangle the longest sides is less than the sum of the other two sides.
- STATEMENT1 is True, STATEMENT2 is True; STATEMENT2 is a correct explanation for STATEMENT1
- STATEMENT1 is True, STATEMENT2 is True; STATEMENT2 is NOT a correct explanation for STATEMENT1
- STATEMENT1 is True, STATEMENT2 is False
- STATEMENT1 is False, STATEMENT2 is True
The correct answer is: STATEMENT1 is True, STATEMENT2 is True; STATEMENT2 is a correct explanation for STATEMENT1
15 = c < a + b 15 < 2bb >7
b can take value from 8 to 15
When b = 15, a can take values from 1 to 15, thus in 15 ways
When b = 14, a can take values from 2 to 14, hence in 13 ways
When b = 13, a can take values from 3 to 13, hence in 11 ways
And so on
total number of triangles possible = 1 + 3 + 5 + + 15 = 64
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