(G.5C, 1 pt) Determine which measuresments CANNOT be the three sides of a triangle. OA. 4 cm, 9 cm, 12 cm OB. 2 cm, 12 cm, 13 cm O C. 9 cm, 9 cm, 9 cm O D. 4 cm, 4cm, 9 cm

Respuesta :

we can use the photo to check

replace on the equations and notice a strange data

A. a=4 b=9 c=12

[tex]\begin{gathered} \cos A=\frac{9^2+12^2-4^2}{2\times9\times12} \\ \cos A=\frac{209}{216} \\ A=0.25 \\ \end{gathered}[/tex][tex]\begin{gathered} \cos B=\frac{4^2+12^2-9^2^{}}{2\times4\times12} \\ \cos B=\frac{79}{96} \\ B=0.60 \end{gathered}[/tex][tex]\begin{gathered} C=180-0.6-0.25 \\ C=179.15 \end{gathered}[/tex]

A is right

B.a=2 b=12 c=3

[tex]\begin{gathered} \cos A=\frac{12^2+3^2-2^2}{2\times12\times3} \\ \cos A=\frac{149}{72} \\ A=\cos ^{-1}(2.069) \\ A=error \end{gathered}[/tex]

arccosine has no response for values ​​greater than 1

So, B es wrong

Ver imagen YuvaanS58514