SOLUTION: in triangle abc, an exterior angle at A measures 40. which is the longest side of the triangle

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: in triangle abc, an exterior angle at A measures 40. which is the longest side of the triangle      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 395924: in triangle abc, an exterior angle at A measures 40. which is the longest side of the triangle
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

in triangle abc, an exterior angle at A measures 40
which is the longest side of the triangle?

An exterior angle and an interior angle must be equal 180.
Therefore we would do 180+-+40, which would give us
140=interior_angle at A .

We also know that 140 is an obtuse angle because it is greater than
90 degrees, and a triangle can only have one obtuse angle.
Since the longest+side+always+lies+opposite the largest+angle, the longest side must be bc.