Question

If the base of a triangle is 3 and its height is 4, then its area is 6. This triangle has an area of 6, so its base is 3 and its height is 4

Valid or invalid

Answer 1

The first sentence is valid but the second one is invalid.

Explanation:

You can't say just because the area of the triangle is 6, its base is 3 and its height is 4, it might have a base of 1 and a hight of 12 so there are more than one answers for the second one.

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Answer 2

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Answer:

invalid

Explanation:

There is more than one set of dimensions that will give a triangle with an area of 6. The fact that the area is 6 implies nothing about the dimensions (except that their product is 12).

The converse is invalid.