Answer:
Second option is the correct answer.
Step-by-step explanation:
To know if the given set of numbers can be possible lengths for a right triangle, we will use the Pythagorean theorem that states:
[tex]a^{2}+b^{2} =c^{2}[/tex]
a and b are smaller lengths.
Option first:
6cm, 22.9cm, 20.1cm.
[tex]6^{2}+20.1^{2} =22.9^{2}[/tex]
=> [tex]36+404.01=524.41[/tex]
=> [tex]440.01\neq 524.41[/tex]
This is not a right triangle.
Option second:
10.5cm, 20.8cm, 23.3cm
[tex]10.5^{2}+20.8^{2} =23.3^{2}[/tex]
=> [tex]110.25+432.64=542.89[/tex]
=> [tex]542.89=542.89[/tex]
This is a right triangle.
