SOLUTION: list the sides of triangle FGH in order from least to greatest if m<f=4x+7, m<g= 5x-31, and m<h= 7x-52. I tried solving these but kept getting decimals. PLEASE HELP! Thanks in adva

Algebra ->  Length-and-distance -> SOLUTION: list the sides of triangle FGH in order from least to greatest if m<f=4x+7, m<g= 5x-31, and m<h= 7x-52. I tried solving these but kept getting decimals. PLEASE HELP! Thanks in adva      Log On


   

Question 1013139: list the sides of triangle FGH in order from least to greatest if m
Found 2 solutions by macston, fractalier:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Angle F+Angle G+Angle H=180
(4x+7)+(5x-31)+(7x-52)=180
16x-76=180
16x=256
x=16
.
Angle F=4x+7=4(16)+7=64=7=71
.
Angle G=5x-31=5(16)-31=80-31=49
.
Angle H=7x-52=7(16)-52=112-52=60
.
ANSWER: G < H < F
.

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Since the angles of a triangle always add to 180, we can write
(4x+7) + (5x-31) + (7x-52) = 180 which gives us
16x - 76 = 180
16x = 256
x = 16
Then our angles, f, g, and h become
71, 49, and 60 degrees respectively.
Least to greatest would then be
g, h, f