Question

find the Pythagorean triplet if one of the following number is 16


plz help me

Answer 1

Heya!
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◾Pythagorean Triplet ◾
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↪A Pythagorean Triplet Consists of three numbers a , b and c such that square of one number is equal to the Sum of square of other two numbers .

a² = b² + c²


↪The three members of a Pythagorean Triplet are Represented by m² - 1 , 2m and m² + 1


✔Here ,
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=> 2m = 16

=> m = 8 .................<1 >


=> m² - 1

=> (8)² - 1

=> 64 - 1

=> 63..................< 2 >



=> m² + 1

=> (8)² + 1

=> 64 + 1

=> 65....................<3>




↪Hence the Three Members are 16 , 65 and 63 !!

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Answer 2

Hey here is your answer ⤵⤵⤵

⏩⏩Let us assume that 2m=16
⏩⏩m=8

Now,
${m}^{2} - 1 = {8}^{2} - 1 \\ = 64 - 1 = 63$
and
${m}^{2} + 1 = {8}^{2} + 1 \\ 64 + 1 = 65$

Hence the triplets are $\bold{16,63,65}$

❤hope it helps you ❤

♠please mark as ${\bigstar \boxed {\mathbb{BRAINLIEST}}\bigstar}$