A Because two points determine a line, you can draw altitude BD perpendicular to AC,
which has height h. By the definition of a sine ratio,
which can be
rearranged intoa sin C = h. The formula for the area of a triangle is Area = bh. Use the
substitution property of equality to get
which rearranges into
by the commutative property of multiplication
sin C = i
sin C=
Area = b (a sin C)
Area =
b(a sin C)
his
Area =
= }(sin C)6
Area =
ab (sin C)
Area =
jab (sin C)
Area
1b (sin C)