Chapter 4, Problem 12P

An isosceles triangle sign is designed to have a triangular printed area of 600 in.2 (shaded area with a base length of a and height of h in the figure). As shown in the figure, there is a 2-in. gap between the sides of the triangles. Write a MATLAB program that determine the dimensions a and h, such that the overall area of the sign will be as small as possible. In the program define a vector a with values ranging from 10 to 120 with increments of 0.1. Use this vector for calculating the corresponding values of h and the overall area of the sign. Then use MATLAB’s built-in function mm to find the dimensions of the smallest sign.