. A Pythagorean triplet whose smallest member is 8 is


A: 8, 15, 18

B: 8, 13, 16

C: 8, 14, 17

D: 8, 15, 17

 

Best Answer

Explanation:

Given

A Pythagorean triplet whose smallest number is 8

Solution

We have to find the Pythagorean triplet

Pythagoras triplets are of the form 2m,m2-1 and m2 +1.

It is given that the smallest number is 8.

So,

2m =8

m =4

Now,

Second number =m2 -1 =42 -1 =15

Third number =m2+ 1=42 +1 =17

Hence, the triplet is 8,15 and 17.

This can be verified as

172 =82 +152

289 =64 +225

289 =289

Hence, proved.

Final Answer:

Hence, the correct option is (d) i.e. 8, 15, 17

 

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