Triangle ABC is shown.
BCD = 30°
D is a point on side AC such that BD = DA = AB.
B
A
Prove that AD = DC.
Give reasons for each step of your proof.
You must show all your working.
[5]
D
300
Which best describes the construction of a triangle if given the segment lengths of 2 cm, 3 cm, and 5 cm? a) unique triangle b) cannot be determined c) triangle not possible d) more than one triangle