Question

draw a triangle ABC and DEF such that they are equal in area but not congruent.

Answer 1

draw a triangle ABC with all angle 60 but with sides 3 cm each and draw another triangle DEF with all angle 60 but sides 5 cm each so the AAA similarity criteria ABC and DEF are similar but not congruent

hope it helps u  

Answer 2

two triangles are equal when their areas are same and two triangles are congruent when their sides are in proportion.

Here,
Area of the triangle ABC= 1/2×6×4=12 unit²
Area of triangle PQR= 1/2×8×3=12 unit²
So, the areas are the same therefore they are equal
But they are not congruent to each other as 8/6≠ 3/4