Question

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

Answer 1

Given:-

$7,20,12$

To find:-

Wheather the given sides form a valid triangle.

So now let,

$A=7,B=20,C=12$

To check we use the condition,

$A+B>C,B+C>A,C+A>B$

Substituting the values we get,

$7+20>12,20+12>7,12+7>20$

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

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