SOLUTION: how do you find the largest angle of a triangle with sides 4cm, 7cm and 9cm?

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Question 478143: how do you find the largest angle of a triangle with sides 4cm, 7cm and 9cm?
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the largest angle will be opposite the largest side.
that would be the angle that is opposite the side that is 9cm.

Answer by ikleyn(52968) About Me  (Show Source):
You can put this solution on YOUR website!
.
How do you find the largest angle of a triangle with sides 4cm, 7cm and 9cm?
~~~~~~~~~~~~~~~~~~~~~~~~~

The largest angle is opposite to the longest side, which is 9 cm.


To find its measure  alpha,  use the cosine law

    9%5E2 = 4%5E2+%2B+7%5E2+-+2%2A4%2A7%2Acos%28alpha%29,

    cos(alpha) = %284%5E2%2B7%5E2-9%5E2%29%2F%282%2A4%2A7%29 = -0.285714286.    


    alpha = arccos(-0.285714286) = 106.60 degrees  (approximately).    <<<---===  ANSWER

Solved.