If 2 * 3 = √13 and 3 * 4 = 5 then value of 5 * 12

(1) √17 (2) √29 (3) 12 (4) 13

pls explain..thanx

13

The first clue is the well-known Pythagorean triple (3, 4, 5) where 3² + 4² = 5²

2 * 3 = √(2² + 3²) = √13

3 * 4 = √(3² + 4²) = √25 = 5

5 * 12 = √(5² + 12²) = √169 = 13

2 * 3 = √13
=> √(2^2 + 3^3) =√ (4 + 9)=> √13


3 * 4 = 5
=> √(3^2 + 4^2) = √(9 + 16) => 5


5 * 12 = ??
=> √(5^2+12^2) = √(25+144) => √169 =13


ANSWER ... 13