What is x?????????????????????????????????????????????????

[tex] \bf{by \: pythagoras \: theorem}[/tex]
[tex]x {}^{2} = 7.5 {}^{2} - 5 {}^{2} [/tex]
[tex]x {}^{2} = 56.25 - 25[/tex]
[tex]x = \sqrt{31.25} [/tex]
Answer: x=31.25
Step-by-step explanation: a'2 + b'2 = c'2. 5'2+ b'2=7.5'2. 25+b'2=56.25. 56.25-25=b'2.