Triangle Inequality TheoremDetermine if a triangle can be formed with the given lengths. If so, classify the triangle by its angle.YESorNO

Triangle Inequality TheoremDetermine if a triangle can be formed with the given lengths If so classify the triangle by its angleYESorNO class=

Respuesta :

Given:-

[tex]7,20,12[/tex]

To find:-

Wheather the given sides form a valid triangle.

So now let,

[tex]A=7,B=20,C=12[/tex]

To check we use the condition,

[tex]A+B>C,B+C>A,C+A>B[/tex]

Substituting the values we get,

[tex]7+20>12,20+12>7,12+7>20[/tex]

In the above condition 12+7>20 is wrong.

So the condition fails and the given sides doesnt form a triangle.