Question

If two triangles have the same area, they must be congruent. True or False?

Answer 1

False because you could have the height of one triangle as 6 and the base as 2 and the area would be 6, but then you could have another triangle with a height of 4 and a base of 3 which would give an area of 6 also, and those two triangles wouldn't be congruent

Answer 2

False

Explanation:

Two triangles are congruent if they have the same shape and size, but their position or orientation may vary. So the fact that two triangles have the same area does not necessarily tell us that they are congruent (they could be congruent but that is often not the case) since they can have different measures on their sides or a different size and still have the same area. So the answer is false, having the same area does not mean that they must be congruent.