You can
put this solution on YOUR website!First we will start out assigning variables
x = shortest side
y = middle side
z = longest side
1.Because all the interior angles of a triangle have to add up to 180 be can write the following equation
-
2. Next we write tow additional equations dealing with each variable independantly
3. Because we want to solve for the longest side, z , then we need to write two equations, one where x is by itself (in fancy terms, x in terms of z), and the other where y is by itself (y in terms of z)
-
-
a. Becuase the problem doesn't describe z in terms of x we will have to make one by substituting
b. because
we can substitue that value into this equation
-
-
c. Now solve for x
-
-
-
d. Now we have the two equations
-
-
3. Now substitute those equations back into the first equation
-
-
4. Finally solve for z
-
-
-
-
-
-
5. So the largest angle is 120 degrees
--Check--
(