Triangle ABC is a right triangle with a short side of
2√3 cm and a hypotenuse of
4√3 cm. Because the short side is half the hypotenuse, this is a 30 °-60 °-90 ° triangle with the 30 ° angle at vertex A. The ratio of the sides of this triangle are
1:√3:2 , so side AB is
√3∗2√3=6.
Attachment:
Triangle.jpg [ 23.05 KiB | Viewed 693 times ]
A perpendicular from B to line AC creates two more 30 °-60 °-90 ° triangles. In the triangle on the left, the perpendicular is the short side and the hypotenuse is 6. The length of the perpendicular is half the length of the hypotenuse, or 3.