Q. 3

Can two similar triangles have same area? If yes, in which case they have the same area?

Answer :

Yes, two similar triangles can have same area.

Note, when two triangles are congruent then all corresponding sides as well as corresponding angles of one triangle are equal to those of the other triangle.

If two triangles are congruent, they are similar too.

And congruent triangles have same area too.

Hence, the similar triangles need to be congruent to have similar areas.

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