Question

Find pythagorean triplet whose one member is 40
Ans. (30,40,50);(24,32,40)

Answer 1

the triplet which satisfies pythagorous theorem will satisfy pythagorous eqn

H²= B²+P²

solving combination (24,32 and 40)

=> 40²= 32²+24²

=> 1600= 1024 +576

=> 1600 = 1600

so, 24,32and 40 is Pythagorean triplet.

solving other triplet,

50²= 30²+20²

=> 2500= 900+400

=> 2500≠1300

so, 30,40,50 are not Pythagorean triplet