Chapter 12.4, Problem 40E

To determine

To Find: Is you fried correct?

Answer to Problem 40E

No

Explanation of Solution

Given: The coordinates of the triangle are $T(0,6),U(6,0)$.Your friend claims that these are the vertices of the isosceles triangle when $V$ is any point on line $y=x.$

Plot the vertices on the graph.

  

From the graph it is seen that these are the vertices of the isosceles triangle except when $V$ is collinear which happens when $V$ has coordinates $(3,3).$