Question

decide if the following statement is valid or invalid. all triangles have positive area. if a shape has positive area, it is always a triangle.

Explanation:

Step1: Analyze the first - statement

The first statement "All triangles have positive area" is true as the area formula for a triangle $A=\frac{1}{2}bh$ ($b$ is base and $h$ is height) and in the real - world geometric context, non - degenerate triangles have non - zero positive area.

Step2: Analyze the second - statement

The second statement "If a shape has positive area, it is always a triangle" is false. There are many other shapes like rectangles, circles, squares etc. that have positive areas. Just because a shape has a positive area does not mean it is a triangle.

Answer:

Invalid