Text: PROBLEM
For ABC
Vertex A is the point of intersection of x^2 + y = 160 and x^3 + 340. Vertex B is the vertex of the quadratic relation given by 0.5x^2 + 12x + 70. Vertex C is the midpoint of the vertices of each vertex for the parabolas given by y = 5x + 4/10 and y = x + 1/4x + 10.
Using the information provided above about ABC, complete the following tasks:
a) Find vertex A, B, and C. Explain your thinking as you solve each vertex. For example, vertex A can be determined by...
b) Graph or sketch ABC.
c) Solve ABC (calculate all the side lengths and all the angles. Remember your formula sheet).
d) Determine the area of ABC. Explain your thinking as you solve for the area.