In figure, ABC is an equilateral triangle. The coordinates of vertices B and C are (3, 0) and (- 3, 0), respectively. Find the coordinates of its vertex A.
Find the area of a triangle whose perimeter is 180 cm and two of its sides are 80 cm and 18 cm. Also, calculate the altitude of the triangle corresponding to the shortest side.
A traffic signal board, indicating 'SCHOOL AHEAD', is an equilateral triangle with side a. Find the area of the signal board, using Heron's formula. If its perimeter is 180 cm, what will be the area of the signal board? What message given by the traffic signal board for different type of vehicles?