Question

3] Determine whether
[11, 12,15) is a pythogorean
triplet. Justify your answer​

Answer 1

Answer:

Step-by-step explanation:

The formula for Pythagorean triplet is: 2m, m²-1 and m²+1

Since we already have the numbers it will be easy.

Let's take the smallest number which is 11 in the question as the answer for 2m to find what is m.

2m=11

m=11/2

m=5.5

Now that we know what m is let's solve the other two equations.

m²+1=15

5.5²+1=15

30.25+1 ≠ 15

Since we found that one of the digits in the triplet is invalid thus this is not a Pythagorean triplet.

Verification

11²+12²=15²

121+144= 265 ≠ 15² as it is 225

I hope this helps!!