15 Feb Two vertices of a triangle are located at (4, 0) and (12, 0). The perimeter of the triangle is 18 units. What are all possible positions for the third vertex? How do you know you h
Two vertices of a triangle are located at (4, 0) and (12, 0). The perimeter of the triangle is 18 units. What are all possible positions for the third vertex? How do you know you have them all? What is the position for the third vertex in the tallest triangle (with base on the x-axis) that satisfies those constraints? Suppose you wanted to pose the problem with another pair of points and perimeter. What, in general, is necessary to ensure integers throughout, including the vertex of that “tallest triangle?”
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