Since we are given the lengths of 2 sides with the angle in
between, therefore by cosine law we can only construct 1 triangle from this. By
stating the angle in between, this constricts the possible number of triangles
that can be formed into 1.
By calculation, the length of the 3rd side is
calculated using cosine law:
c^2 = a^2 + b^2 – 2abcosθ
c^2 = 10^2 + 8^2 – 2(10)(8)cos40
c = 6.44 cm
ANSWER:
1 triangle
