Answer:
6; 22; 20 (ft.)
Step-by-step explanation:
1) if the length of the each side are: n; 4n-2 and 4n-4, then the expression of the perimeter can be written: P=n+4n-2+4n-4 or P=9n-6.
2) if according to the condition perimeter is 48 (ft.), then
9n-6=P; ⇔ 9n-6=48; n=6.
3) if n=6, then the required lengths of the sides are:
n=6 (ft.);
4n-2=22 (ft.);
4n-4=20 (ft.)
Let Angle A = X
Since Angle B is the same, angle B is also X
Then angle C = X +45
Add the 3 angles together: X +X +X +45 = 3x+45
That equals 180 degrees:
3x+45 = 180
Subtract 45 from both sides:
3x = 135
Divide both sides by 3:
X = 135/3
X = 45
Angle A = 45
Angle B = 45
Angle C = 45+45 = 90
