Answer:
Step-by-step explanation:
P = 9x + 6 + x + 18 + 2x + 23 + 7x - 2 = 19x + 45.
2x + 23 = 7x - 2
5x = 25
x = 5
Therefore P = (19)(5) + 45 = 140.
EF = 23, FG = 51, EG = 66.
1) It is a scalene triangle.
2) Angle FEH is acute.
Let a = angle FEH:
23^2 + 66^2 - 2*23*66*cos(a) = 51^2
cos(a) = (23^2 + 66^2 - 51^2)/(2*23*66), which is a positive value, thus a is an acute angle.
3) angle EFG is obtuse.
Let x = angle EFG:
23^2 + 51^2 - 2*23*51*cos(x) = 66^2
(23^2 + 51^2 - 66^2)/(2*23*51) = cos(x)
cos(x) = a negative value, thus x is obtuse.
