Question 1005028
Use the longest side as a hypotenuse to test in the Pythagorean Theorem formula.  Does the formula give a true statement or a false statement?



You will want to use Law Of Cosines to find the three angle measures.
{{{highlight_green(a^2+b^2-2ab*cos(gamma)=c^2)}}}, which you apply appropriately for all three angles of your triangle.


{{{-2ab*cos(gamma)=c^2-a^2-b^2}}}


{{{cos(gamma)=(a^2+b^2-c^2)/(2ab)}}}


{{{cos(gamma)=(9+16-36)/(2*12)}}}


{{{cos(gamma)=-11/24}}}
{{{gamma=117.28*degrees}}}