draw a triangle ABC and DEF such that they are equal in area but not congruent.
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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
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4
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
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
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