Answer:
Perimeter = 4.5√3 + 4.5
Area = 3.375√3
Step-by-step explanation:
Well you can first see that triangle ABC is a 30°60°90° triangle.
Since angle A is 60 and it is bisected, you will have a small 30°60°90° triangle and a 120°30°30° triangle.
You can say that DA is congruent to BD by Base Angle Theorem.
DA = 3
By using the ratios of the sides of the 30°60°90° you get that CD is 1.5 and CA is 1.5√3
CD = 1.5
CA = 1.5√3
BC = 4.5
Area = (4.5 * 1.5√3) / 3 = 6.75√3 / 2
Area = 3.375√3
By using the 30°60°90° ratio again, you get that BA = 3√3
Perimeter = 1.5√3 + 3√3 + 4.5
Perimeter = 4.5√3 + 4.5
I'm not 100% sure that the answer is right so check it.
