Question

Find Pythagorean triplet whose smallest number is 9

Answer 1

Answer:

9,12,15

Step-by-step explanation:

9^2 =81

12^2=144

add them up to get 225 which is 15^2

also 9 being smallest of three satisfies the question

Answer 2

Pythagorean triplet whose smallest number is 9 is : 12, 9, 15

Solution:

For a three numbers to satisfy pythagorean,

$c^2 = a^2 + b^2$

Where, "c" is the longest side

Given that,

Smallest number = 9

Let, b = 9

Then we get,

$c^2 = a^2 + 9^2\\\\c^2 = a^2 + 81$

Consider, c = 15 and a = 12

Then we get,

$15^2 = 12^2 + 81\\\\225 = 144 + 81\\\\225 = 225$

Thus the Pythagorean triplet is (12, 9, 15)

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