ADVANCED EXERCISES

(4)

 Using the following diagram:

 a) Solve for x.

 b) Find the area of triangle ABC.

 c) Derive a general formula for the area of equilateral triangles in terms of s, 
     one of the sides

HINT:

a) Use the Pythagorean Theorem several times.  
   Note triangle ABC is equilateral

b) Area of a triangle = 1/2 (base*height)

c) Examine part b and how the area relates to the length of one of the sides