the area of a traingle?

Question

two points F and G are the end-points of the base of a triangular flower bed PEG,in which PF=PG=8cm. IF angle FGP =75,calculate the area of the flower bed and the length of FG

Answer 1

There is enough information to complete triangle FGP as follows:-
FP = 8
PG = 8
/_ PFG = /_FGP = 75³
/_FPG = 30°
By sine rule:-
FG / sin 30° = 8 / sin 75°
FG = 8 sin 30° / sin 75°
FG = 4.14 cm

A = (1/2) (8 sin 30°) (8) cm ²
A = 32 sin 30°
A = 16 cm ²

Answer 2

Draw the figure!! area = 8 sin[75] 8 cos[75] = 16 sin[150] = 16 sin[30] = 16...base = 2[8 cos(75)]