If A is set of different triangles in the plane and B is set of all positive real numbers. A relation R is defined from set A to set B such that every element of set A is associated with some number in set B which is measure of area of triangle. Is this relation as function?

Explanation

To determine whether the relation \( R \) defined from set \( A \) (the set of different triangles in the plane) to set \( B \) (the set of all positive real numbers) is a function, we need to analyze the properties of functions and the specific characteristics of the triangles and their areas.

### Step-by-Step Solution:

1. **Define the Sets**:
- Let \( A \) be the set of all different triangles in the plane. We can denote these triangles as \( T_1, T_2, T_3, \ldots \).
- Let \( B \) be the set of all positive real numbers, which includes numbers like \( 0.1, 1, 2, 3, \ldots \) and so on.

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