Question

Which math sentence can be used to determine if this triangle is a right triangle?

20+21 = 29
20^2 +21^2 - 29^2
29^2+21^2= 20^2

Answer 1

`\text{Hey there!}`

`\text{Which math sentence can be used to determine if this triangle if this triangle}\\\text{is a right triangle?}`

`\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}`

`\text{Now that we know what the formula looks like we can ELIMINATE}\\\text{option A as your answer!}`

`\text{This leaves us with option B and C as our possible answers}`

`\text{The sides of the triangle: 20, 21, \& 29}`

`\mathsf{The\ Pythagorean\ Theorem\ is\ next: h[hypotenuse]^2= b[base]^2+perpendicular}`

`\mathsf{Hypotenuse \rightarrow 29^2}\\\mathsf{Base\rightarrow 21^2}\\\mathsf{Perpendicular\rightarrow20^2 }`

`\mathsf{20^2\rightarrow20*20=400}\\\mathsf{21^2\rightarrow21*21=441}\\\mathsf{29^2\rightarrow29*29=841}\\\mathsf{\underline{20^2+21^2=29^2}}\\\\\mathsf{400+441=841}\checkmark`

`\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\mathsf{B. 20^2+21^2=29^2}}}}}\checkmark`

`\text{Good luck on your assignment and enjoy your day!}`

~
`\frac{\frak{LoveYourselfFirst}}{:)}`