SOLUTION: If angle A is (2c+2)°, angle B is (5c-1)°, and angle C is (c+7)° is the triangle acute, right or obtuse?

Algebra ->  Triangles -> SOLUTION: If angle A is (2c+2)°, angle B is (5c-1)°, and angle C is (c+7)° is the triangle acute, right or obtuse?      Log On


   

Question 1062660: If angle A is (2c+2)°, angle B is (5c-1)°, and angle C is (c+7)° is the triangle acute, right or obtuse?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So then,
A%2BB%2BC=180
2c%2B2%2B5c-1%2Bc%2B7=180
8c%2B8=180
8c=172
c=172%2F8
c=43%2F2
So,
A=2%2843%2F2%29%2B2
A=43%2B2
A=45
and
B=5%2843%2F2%29-1
B=215%2F2-2%2F2
B=213%2F2
and
C=43%2F2%2B7
C=43%2F2%2B14%2F2
C=57%2F2
Since,
213%2F2%3E90
the triangle is obtuse.