[tex]\text{Hey there!}[/tex]
[tex]\text{Which math sentence can be used to determine if this triangle if this triangle}\\\text{is a right triangle?}[/tex]
[tex]\mathsf{The\ hypotenuse\ formula\ is: a^2+b^2=c^2, whereas\ letters\ a\ \&\ b \ are}\\\mathsf{are\ your\ legs\ and the letter\ c\ is\ your\ hypotenuse}[/tex]
[tex]\text{Now that we know what the formula looks like we can ELIMINATE}\\\text{option A as your answer!}[/tex]
[tex]\text{This leaves us with option B and C as our possible answers}[/tex]
[tex]\text{The sides of the triangle: 20, 21, \& 29}[/tex]
[tex]\mathsf{The\ Pythagorean\ Theorem\ is\ next: h[hypotenuse]^2= b[base]^2+perpendicular}[/tex]
[tex]\mathsf{Hypotenuse \rightarrow 29^2}\\\mathsf{Base\rightarrow 21^2}\\\mathsf{Perpendicular\rightarrow20^2 }[/tex]
[tex]\mathsf{20^2\rightarrow20\times20=400}\\\mathsf{21^2\rightarrow21\times21=441}\\\mathsf{29^2\rightarrow29\times29=841}\\\mathsf{\underline{20^2+21^2=29^2}}\\\\\mathsf{400+441=841}\checkmark[/tex]
[tex]\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\mathsf{B. 20^2+21^2=29^2}}}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
