If the smallest number in a pythagorean triplet is 14, find the other two numbers.

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14, 46, 52

14, 48, 52

14, 46, 50

14, 48, 50

answer is D.

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Detailed Solution

Concept- First and foremost, we must understand the pythagorean triplets in order to answer the issue above. The three positive integers a, b, and c that make up a pythagorean triplet are such The format for such a triplet is often (a,b,c), and a well-known example is (3,4,5).
The first term of a pythagorean triplet has now been presented to us as 14. As stated below, we will examine each option individually for the last two.
A. 14, 46, 52
Here, we have a=14, b=46, c=52.
⇒14+46=2312≠52⇒142+462=2312≠522
So, this option is not correct.
B. 14, 48, 52
Here, we have a=14, b=48,c =52.
⇒14+48=2500≠522⇒142+482=2500≠522
So, this option is not correct.
C. 14, 46, 50
Here, we have a=14, b= 46, c=50.
⇒14+46=2312≠502⇒142+462=2312≠502
So, this option is not correct.
D.