Question

which set of numbers can represent the side lengths, in centimeters, of a right triangle?\
\\(\bigcirc\\) 8, 12, 15\
\\(\bigcirc\\) 10, 24, 26\
\\(\bigcirc\\) 12, 20, 25\
\\(\bigcirc\\) 15, 18, 20

Explanation:

Step1: Check Pythagorean theorem for 8,12,15

Calculate $8^2 + 12^2 = 64 + 144 = 208$, $15^2 = 225$. $208
eq 225$

Step2: Check Pythagorean theorem for 10,24,26

Calculate $10^2 + 24^2 = 100 + 576 = 676$, $26^2 = 676$. $676 = 676$

Step3: Verify remaining sets (optional)

For 12,20,25: $12^2+20^2=144+400=544$, $25^2=625$, $544≠625$. For 15,18,20: $15^2+18^2=225+324=549$, $20^2=400$, $549≠400$

Answer:

10, 24, 26